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problems</title> <meta name="description" content="Search results for: equilibrium problems"> <meta name="keywords" content="equilibrium problems"> <meta name="viewport" content="width=device-width, initial-scale=1, minimum-scale=1, maximum-scale=1, user-scalable=no"> <meta charset="utf-8"> <link href="https://cdn.waset.org/favicon.ico" type="image/x-icon" rel="shortcut icon"> <link href="https://cdn.waset.org/static/plugins/bootstrap-4.2.1/css/bootstrap.min.css" rel="stylesheet"> <link href="https://cdn.waset.org/static/plugins/fontawesome/css/all.min.css" rel="stylesheet"> <link href="https://cdn.waset.org/static/css/site.css?v=150220211555" rel="stylesheet"> </head> <body> <header> <div class="container"> <nav class="navbar navbar-expand-lg navbar-light"> <a class="navbar-brand" href="https://waset.org"> <img src="https://cdn.waset.org/static/images/wasetc.png" alt="Open Science Research Excellence" title="Open Science Research Excellence" /> </a> <button class="d-block d-lg-none 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action="https://publications.waset.org/abstracts/search"> <div id="custom-search-input"> <div class="input-group"> <i class="fas fa-search"></i> <input type="text" class="search-query" name="q" placeholder="Author, Title, Abstract, Keywords" value="equilibrium problems"> <input type="submit" class="btn_search" value="Search"> </div> </div> </form> </div> </div> <div class="row mt-3"> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Commenced</strong> in January 2007</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Frequency:</strong> Monthly</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Edition:</strong> International</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Paper Count:</strong> 7057</div> </div> </div> </div> <h1 class="mt-3 mb-3 text-center" style="font-size:1.6rem;">Search results for: equilibrium problems</h1> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7057</span> On the System of Split Equilibrium and Fixed Point Problems in Real Hilbert Spaces</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Francis%20O.%20Nwawuru">Francis O. Nwawuru</a>, <a href="https://publications.waset.org/abstracts/search?q=Jeremiah%20N.%20Ezeora"> Jeremiah N. Ezeora</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, a new algorithm for solving the system of split equilibrium and fixed point problems in real Hilbert spaces is considered. The equilibrium bifunction involves a nite family of pseudo-monotone mappings, which is an improvement over monotone operators. More so, it turns out that the solution of the finite family of nonexpansive mappings. The regularized parameters do not depend on Lipschitz constants. Also, the computations of the stepsize, which plays a crucial role in the convergence analysis of the proposed method, do require prior knowledge of the norm of the involved bounded linear map. Furthermore, to speed up the rate of convergence, an inertial term technique is introduced in the proposed method. Under standard assumptions on the operators and the control sequences, using a modified Halpern iteration method, we establish strong convergence, a desired result in applications. Finally, the proposed scheme is applied to solve some optimization problems. The result obtained improves numerous results announced earlier in this direction. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=equilibrium" title="equilibrium">equilibrium</a>, <a href="https://publications.waset.org/abstracts/search?q=Hilbert%20spaces" title=" Hilbert spaces"> Hilbert spaces</a>, <a href="https://publications.waset.org/abstracts/search?q=fixed%20point" title=" fixed point"> fixed point</a>, <a href="https://publications.waset.org/abstracts/search?q=nonexpansive%20mapping" title=" nonexpansive mapping"> nonexpansive mapping</a>, <a href="https://publications.waset.org/abstracts/search?q=extragradient%20method" title=" extragradient method"> extragradient method</a>, <a href="https://publications.waset.org/abstracts/search?q=regularized%20equilibrium" title=" regularized equilibrium"> regularized equilibrium</a> </p> <a href="https://publications.waset.org/abstracts/184412/on-the-system-of-split-equilibrium-and-fixed-point-problems-in-real-hilbert-spaces" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/184412.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">48</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7056</span> Optimality Conditions and Duality for Semi-Inﬁnite Mathematical Programming Problems with Equilibrium Constraints, Using Convexiﬁcators</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Shashi%20Kant%20Mishra">Shashi Kant Mishra</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, we consider semi-inﬁnite mathematical programming problems with equilibrium constraints (SIMPEC). We establish necessary and suﬃcient optimality conditions for the SIMPEC, using convexiﬁcators. We study the Wolfe type dual problem for the SIMPEC under the ∂∗convexity assumptions. A Mond-Weir type dual problem is also formulated and studied for the SIMPEC under the ∂∗-convexity, ∂∗-pseudoconvexity and ∂∗quasiconvexity assumptions. Weak duality theorems are established to relate the SIMPEC and two dual programs in the framework of convexiﬁcators. Further, strong duality theorems are obtained under generalized standard Abadie constraint qualiﬁcation (GS-ACQ). <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=mathematical%20programming%20problems%20with%20equilibrium%20constraints" title="mathematical programming problems with equilibrium constraints">mathematical programming problems with equilibrium constraints</a>, <a href="https://publications.waset.org/abstracts/search?q=optimality%20conditions" title=" optimality conditions"> optimality conditions</a>, <a href="https://publications.waset.org/abstracts/search?q=semi-in%EF%AC%81nite%20programming" title=" semi-inﬁnite programming"> semi-inﬁnite programming</a>, <a href="https://publications.waset.org/abstracts/search?q=convexi%EF%AC%81cators" title=" convexiﬁcators"> convexiﬁcators</a> </p> <a href="https://publications.waset.org/abstracts/61644/optimality-conditions-and-duality-for-semi-infinite-mathematical-programming-problems-with-equilibrium-constraints-using-convexificators" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/61644.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">328</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7055</span> Some Basic Problems for the Elastic Material with Voids in the Case of Approximation N=1 of Vekua's Theory</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Bakur%20Gulua">Bakur Gulua</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this work, we consider some boundary value problems for the plate. The plate is the elastic material with voids. The state of plate equilibrium is described by the system of differential equations that is derived from three-dimensional equations of equilibrium of an elastic material with voids (Cowin-Nunziato model) by Vekua's reduction method. Its general solution is represented by means of analytic functions of a complex variable and solutions of Helmholtz equations. The problem is solved analytically by the method of the theory of functions of a complex variable. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=the%20elastic%20material%20with%20voids" title="the elastic material with voids">the elastic material with voids</a>, <a href="https://publications.waset.org/abstracts/search?q=boundary%20value%20problems" title=" boundary value problems"> boundary value problems</a>, <a href="https://publications.waset.org/abstracts/search?q=Vekua%27s%20reduction%20method" title=" Vekua's reduction method"> Vekua's reduction method</a>, <a href="https://publications.waset.org/abstracts/search?q=a%20complex%20variable" title=" a complex variable"> a complex variable</a> </p> <a href="https://publications.waset.org/abstracts/148861/some-basic-problems-for-the-elastic-material-with-voids-in-the-case-of-approximation-n1-of-vekuas-theory" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/148861.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">127</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7054</span> The Unsteady Non-Equilibrium Distribution Function and Exact Equilibrium Time for a Dilute Gas Affected by Thermal Radiation Field</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Taha%20Zakaraia%20Abdel%20Wahid">Taha Zakaraia Abdel Wahid</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The behavior of the unsteady non-equilibrium distribution function for a dilute gas under the effect of non-linear thermal radiation field is presented. For the best of our knowledge this is done for the first time at all. The distinction and comparisons between the unsteady perturbed and the unsteady equilibrium velocity distribution functions are illustrated. The equilibrium time for the dilute gas is determined for the first time. The non-equilibrium thermodynamic properties of the system (gas+the heated plate) are investigated. The results are applied to the Argon gas, for various values of radiation field intensity. 3D-Graphics illustrating the calculated variables are drawn to predict their behavior. The results are discussed. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=dilute%20gas" title="dilute gas">dilute gas</a>, <a href="https://publications.waset.org/abstracts/search?q=radiation%20field" title=" radiation field"> radiation field</a>, <a href="https://publications.waset.org/abstracts/search?q=exact%20solutions" title=" exact solutions"> exact solutions</a>, <a href="https://publications.waset.org/abstracts/search?q=travelling%20wave%20method" title=" travelling wave method"> travelling wave method</a>, <a href="https://publications.waset.org/abstracts/search?q=unsteady%20BGK%20model" title=" unsteady BGK model"> unsteady BGK model</a>, <a href="https://publications.waset.org/abstracts/search?q=irreversible%20thermodynamics" title=" irreversible thermodynamics"> irreversible thermodynamics</a>, <a href="https://publications.waset.org/abstracts/search?q=unsteady%20non-equilibrium%20distribution%20functions" title=" unsteady non-equilibrium distribution functions"> unsteady non-equilibrium distribution functions</a> </p> <a href="https://publications.waset.org/abstracts/10132/the-unsteady-non-equilibrium-distribution-function-and-exact-equilibrium-time-for-a-dilute-gas-affected-by-thermal-radiation-field" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/10132.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">495</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7053</span> MHD Equilibrium Study in Alborz Tokamak</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Maryamosadat%20Ghasemi">Maryamosadat Ghasemi</a>, <a href="https://publications.waset.org/abstracts/search?q=Reza%20Amrollahi"> Reza Amrollahi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Plasma equilibrium geometry has a great influence on the confinement and magnetohydrodynamic stability in tokamaks. The poloidal field (PF) system of a tokamak should be able to support this plasma equilibrium geometry. In this work the prepared numerical code based on radial basis functions are presented and used to solve the Grad–Shafranov (GS) equation for the axisymmetric equilibrium of tokamak plasma. The radial basis functions (RBFs) which is a kind of numerical meshfree method (MFM) for solving partial differential equations (PDEs) has appeared in the last decade and is developing significantly in the last few years. This technique is applied in this study to obtain the equilibrium configuration for Alborz Tokamak. The behavior of numerical solution convergences show the validation of this calculations. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=equilibrium" title="equilibrium">equilibrium</a>, <a href="https://publications.waset.org/abstracts/search?q=grad%E2%80%93shafranov" title=" grad–shafranov"> grad–shafranov</a>, <a href="https://publications.waset.org/abstracts/search?q=radial%20basis%20functions" title=" radial basis functions"> radial basis functions</a>, <a href="https://publications.waset.org/abstracts/search?q=Alborz%20Tokamak" title=" Alborz Tokamak"> Alborz Tokamak</a> </p> <a href="https://publications.waset.org/abstracts/30952/mhd-equilibrium-study-in-alborz-tokamak" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/30952.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">473</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7052</span> Strong Convergence of an Iterative Sequence in Real Banach Spaces with Kadec Klee Property</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Umar%20Yusuf%20Batsari">Umar Yusuf Batsari</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Let E be a uniformly smooth and uniformly convex real Banach space and C be a nonempty, closed and convex subset of E. Let $V= \{S_i : C\to C, ~i=1, 2, 3\cdots N\}$ be a convex set of relatively nonexpansive mappings containing identity. In this paper, an iterative sequence obtained from CQ algorithm was shown to have strongly converge to a point $\hat{x}$ which is a common fixed point of relatively nonexpansive mappings in V and also solve the system of equilibrium problems in E. The result improve some existing results in the literature. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=relatively%20nonexpansive%20mappings" title="relatively nonexpansive mappings">relatively nonexpansive mappings</a>, <a href="https://publications.waset.org/abstracts/search?q=strong%20convergence" title=" strong convergence"> strong convergence</a>, <a href="https://publications.waset.org/abstracts/search?q=equilibrium%20problems" title=" equilibrium problems"> equilibrium problems</a>, <a href="https://publications.waset.org/abstracts/search?q=uniformly%20smooth%20space" title=" uniformly smooth space"> uniformly smooth space</a>, <a href="https://publications.waset.org/abstracts/search?q=uniformly%20convex%20space" title=" uniformly convex space"> uniformly convex space</a>, <a href="https://publications.waset.org/abstracts/search?q=convex%20set" title=" convex set"> convex set</a>, <a href="https://publications.waset.org/abstracts/search?q=kadec%20klee%20property" title=" kadec klee property"> kadec klee property</a> </p> <a href="https://publications.waset.org/abstracts/21142/strong-convergence-of-an-iterative-sequence-in-real-banach-spaces-with-kadec-klee-property" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/21142.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">422</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7051</span> The Behavior of Unsteady Non-Equilibrium Distribution Function and Exact Equilibrium Time for a Dilute Gas Mixture Affected by Thermal Radiation Field</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Taha%20Zakaraia%20Abdel%20Wahid">Taha Zakaraia Abdel Wahid</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In the present study, a development of the papers is introduced. The behavior of the unsteady non-equilibrium distribution functions for a rarefied gas mixture under the effect of non-linear thermal radiation field is presented. For the best of our knowledge this is done for the first time at all. The distinction and comparisons between the unsteady perturbed and the unsteady equilibrium velocity distribution functions are illustrated. The equilibrium time for the rarefied gas mixture is determined for the first time. The non-equilibrium thermodynamic properties of the system is investigated. The results are applied to the Argon-Neon binary gas mixture, for various values of both of molar fraction parameters and radiation field intensity. 3D-Graphics illustrating the calculated variables are drawn to predict their behavior and the results are discussed. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=radiation%20field" title="radiation field">radiation field</a>, <a href="https://publications.waset.org/abstracts/search?q=binary%20gas%20mixture" title=" binary gas mixture"> binary gas mixture</a>, <a href="https://publications.waset.org/abstracts/search?q=exact%20solutions" title=" exact solutions"> exact solutions</a>, <a href="https://publications.waset.org/abstracts/search?q=travelling%20wave%20method" title=" travelling wave method"> travelling wave method</a>, <a href="https://publications.waset.org/abstracts/search?q=unsteady%20BGK%20model" title=" unsteady BGK model"> unsteady BGK model</a>, <a href="https://publications.waset.org/abstracts/search?q=irreversible%20thermodynamics" title=" irreversible thermodynamics"> irreversible thermodynamics</a> </p> <a href="https://publications.waset.org/abstracts/10477/the-behavior-of-unsteady-non-equilibrium-distribution-function-and-exact-equilibrium-time-for-a-dilute-gas-mixture-affected-by-thermal-radiation-field" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/10477.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">452</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7050</span> Physics-Informed Machine Learning for Displacement Estimation in Solid Mechanics Problem</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Feng%20Yang">Feng Yang</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Machine learning (ML), especially deep learning (DL), has been extensively applied to many applications in recently years and gained great success in solving different problems, including scientific problems. However, conventional ML/DL methodologies are purely data-driven which have the limitations, such as need of ample amount of labelled training data, lack of consistency to physical principles, and lack of generalizability to new problems/domains. Recently, there is a growing consensus that ML models need to further take advantage of prior knowledge to deal with these limitations. Physics-informed machine learning, aiming at integration of physics/domain knowledge into ML, has been recognized as an emerging area of research, especially in the recent 2 to 3 years. In this work, physics-informed ML, specifically physics-informed neural network (NN), is employed and implemented to estimate the displacements at x, y, z directions in a solid mechanics problem that is controlled by equilibrium equations with boundary conditions. By incorporating the physics (i.e. the equilibrium equations) into the learning process of NN, it is showed that the NN can be trained very efficiently with a small set of labelled training data. Experiments with different settings of the NN model and the amount of labelled training data were conducted, and the results show that very high accuracy can be achieved in fulfilling the equilibrium equations as well as in predicting the displacements, e.g. in setting the overall displacement of 0.1, a root mean square error (RMSE) of 2.09 × 10−4 was achieved. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=deep%20learning" title="deep learning">deep learning</a>, <a href="https://publications.waset.org/abstracts/search?q=neural%20network" title=" neural network"> neural network</a>, <a href="https://publications.waset.org/abstracts/search?q=physics-informed%20machine%20learning" title=" physics-informed machine learning"> physics-informed machine learning</a>, <a href="https://publications.waset.org/abstracts/search?q=solid%20mechanics" title=" solid mechanics"> solid mechanics</a> </p> <a href="https://publications.waset.org/abstracts/135653/physics-informed-machine-learning-for-displacement-estimation-in-solid-mechanics-problem" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/135653.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">150</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7049</span> Pure Scalar Equilibria for Normal-Form Games</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Herbert%20W.%20Corley">Herbert W. Corley</a> </p> <p class="card-text"><strong>Abstract:</strong></p> A scalar equilibrium (SE) is an alternative type of equilibrium in pure strategies for an n-person normal-form game G. It is defined using optimization techniques to obtain a pure strategy for each player of G by maximizing an appropriate utility function over the acceptable joint actions. The players’ actions are determined by the choice of the utility function. Such a utility function could be agreed upon by the players or chosen by an arbitrator. An SE is an equilibrium since no players of G can increase the value of this utility function by changing their strategies. SEs are formally defined, and examples are given. In a greedy SE, the goal is to assign actions to the players giving them the largest individual payoffs jointly possible. In a weighted SE, each player is assigned weights modeling the degree to which he helps every player, including himself, achieve as large a payoff as jointly possible. In a compromise SE, each player wants a fair payoff for a reasonable interpretation of fairness. In a parity SE, the players want their payoffs to be as nearly equal as jointly possible. Finally, a satisficing SE achieves a personal target payoff value for each player. The vector payoffs associated with each of these SEs are shown to be Pareto optimal among all such acceptable vectors, as well as computationally tractable. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=compromise%20equilibrium" title="compromise equilibrium">compromise equilibrium</a>, <a href="https://publications.waset.org/abstracts/search?q=greedy%20equilibrium" title=" greedy equilibrium"> greedy equilibrium</a>, <a href="https://publications.waset.org/abstracts/search?q=normal-form%20game" title=" normal-form game"> normal-form game</a>, <a href="https://publications.waset.org/abstracts/search?q=parity%20equilibrium" title=" parity equilibrium"> parity equilibrium</a>, <a href="https://publications.waset.org/abstracts/search?q=pure%20strategies" title=" pure strategies"> pure strategies</a>, <a href="https://publications.waset.org/abstracts/search?q=satisficing%20equilibrium" title=" satisficing equilibrium"> satisficing equilibrium</a>, <a href="https://publications.waset.org/abstracts/search?q=scalar%20equilibria" title=" scalar equilibria"> scalar equilibria</a>, <a href="https://publications.waset.org/abstracts/search?q=utility%20function" title=" utility function"> utility function</a>, <a href="https://publications.waset.org/abstracts/search?q=weighted%20equilibrium" title=" weighted equilibrium"> weighted equilibrium</a> </p> <a href="https://publications.waset.org/abstracts/153301/pure-scalar-equilibria-for-normal-form-games" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/153301.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">113</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7048</span> Potassium Acetate - Coconut Shell Activated Carbon for Adsorption of Benzene and Toluene: Equilibrium and Kinetic Studies</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Jibril%20Mohammed">Jibril Mohammed</a>, <a href="https://publications.waset.org/abstracts/search?q=Usman%20Dadum%20Hamza"> Usman Dadum Hamza</a>, <a href="https://publications.waset.org/abstracts/search?q=Abdulsalam%20Surajudeen"> Abdulsalam Surajudeen</a>, <a href="https://publications.waset.org/abstracts/search?q=Baba%20Yahya%20Danjuma"> Baba Yahya Danjuma</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Considerable concerns have been raised over the presence of volatile organic compounds (VOCs) in water. In this study, coconut shell based activated carbon was produced through chemical activation with potassium acetate (PAAC) for adsorption of benzene and toluene. The porous carbons were characterized using Fourier transform infrared spectroscopy (FTIR), thermogravimetric analysis (TGA), scanning electron microscopy (SEM), proximate analysis, and ultimate analysis and nitrogen adsorption tests. Adsorption of benzene and toluene on the porous carbons were conducted at varying concentrations (50-250 mg/l). The high BET surface area of 622 m2/g and highly heteroporous adsorbent prepared gave good removal efficiencies of 79 and 82% for benzene and toluene respectively, with 32% yield. Equilibrium data were fitted to Langmuir, Freundlich and Temkin isotherms with all the models having R2 > 0.94. The equilibrium data were best represented by the Langmuir isotherm, with maximum adsorption capacity of 192 mg/g and 227 mg/g for benzene and toluene respectively. The Webber and Chakkravorti equilibrium parameter (RL) values are between 0 and 1 confirming the favourability of the Langmuir model. The adsorption kinetics was found to follow the pseudo-second-order kinetic model. The PAAC produced can be used effectively to salvage environmental pollution problems posed by VOCs through a sustainable process. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=adsorption" title="adsorption">adsorption</a>, <a href="https://publications.waset.org/abstracts/search?q=equilibrium%20and%20kinetics%20studies" title=" equilibrium and kinetics studies"> equilibrium and kinetics studies</a>, <a href="https://publications.waset.org/abstracts/search?q=potassium%20acetate" title=" potassium acetate"> potassium acetate</a>, <a href="https://publications.waset.org/abstracts/search?q=water%20treatment" title=" water treatment "> water treatment </a> </p> <a href="https://publications.waset.org/abstracts/47700/potassium-acetate-coconut-shell-activated-carbon-for-adsorption-of-benzene-and-toluene-equilibrium-and-kinetic-studies" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/47700.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">221</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7047</span> Oryzanol Recovery from Rice Bran Oil: Adsorption Equilibrium Models Through Kinetics Data Approachments </h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=A.D.%20Susanti">A.D. Susanti</a>, <a href="https://publications.waset.org/abstracts/search?q=W.%20B.%20Sediawan"> W. B. Sediawan</a>, <a href="https://publications.waset.org/abstracts/search?q=S.K.%20Wirawan"> S.K. Wirawan</a>, <a href="https://publications.waset.org/abstracts/search?q=Budhijanto"> Budhijanto</a>, <a href="https://publications.waset.org/abstracts/search?q=Ritmaleni"> Ritmaleni</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Oryzanol content in rice bran oil (RBO) naturally has high antioxidant activity. Its reviewed has several health properties and high interested in pharmacy, cosmetics, and nutrition’s. Because of the low concentration of oryzanol in crude RBO (0.9-2.9%) then its need to be further processed for practical usage, such as via adsorption process. In this study, investigation and adjustment of adsorption equilibrium models were conducted through the kinetic data approachments. Mathematical modeling on kinetics of batch adsorption of oryzanol separation from RBO has been set-up and then applied for equilibrium results. The size of adsorbent particles used in this case are usually relatively small then the concentration in the adsorbent is assumed to be not different. Hence, the adsorption rate is controlled by the rate of oryzanol mass transfer from the bulk fluid of RBO to the surface of silica gel. In this approachments, the rate of mass transfer is assumed to be proportional to the concentration deviation from the equilibrium state. The equilibrium models applied were Langmuir, coefficient distribution, and Freundlich with the values of the parameters obtained from equilibrium results. It turned out that the models set-up can quantitatively describe the experimental kinetics data and the adjustment of the values of equilibrium isotherm parameters significantly improves the accuracy of the model. And then the value of mass transfer coefficient per unit adsorbent mass (kca) is obtained by curve fitting. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=adsorption%20equilibrium" title="adsorption equilibrium">adsorption equilibrium</a>, <a href="https://publications.waset.org/abstracts/search?q=adsorption%20kinetics" title=" adsorption kinetics"> adsorption kinetics</a>, <a href="https://publications.waset.org/abstracts/search?q=oryzanol" title=" oryzanol"> oryzanol</a>, <a href="https://publications.waset.org/abstracts/search?q=rice%20bran%20oil" title=" rice bran oil "> rice bran oil </a> </p> <a href="https://publications.waset.org/abstracts/31079/oryzanol-recovery-from-rice-bran-oil-adsorption-equilibrium-models-through-kinetics-data-approachments" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/31079.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">323</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7046</span> Teaching and Learning Dialectical Relationship between Thermodynamic Equilibrium and Reaction Rate Constant</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Mohammad%20Anwar">Mohammad Anwar</a>, <a href="https://publications.waset.org/abstracts/search?q=Shah%20Waliullah"> Shah Waliullah</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The development of science and technology in the present era has an urgent demand for the training of thinking of undergraduates. This requirement actively promotes research and teaching of basic theories, beneficial to the career development of students. This study clarified the dialectical relation between the thermodynamic equilibrium constant and reaction rate constant through the contrast thinking method. Findings reveal that both the isobaric Van't Hoff equation and the Arrhenius equation had four similar forms, and the change in the trend of both constants showed a similar law. By the derivation of the formation rate constant of the product (KY) and the consumption rate constant of the reactant (KA), the ratio of both constants at the end state indicated the nature of the equilibrium state in agreement with that of the thermodynamic equilibrium constant (K^θ (T)). This study has thus presented that the thermodynamic equilibrium constant contained the characteristics of microscopic dynamics based on the analysis of the reaction mechanism, and both constants are organically connected and unified. The reaction enthalpy and activation energy are closely related to each other with the same connotation. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=thermodynamic%20equilibrium%20constant" title="thermodynamic equilibrium constant">thermodynamic equilibrium constant</a>, <a href="https://publications.waset.org/abstracts/search?q=reaction%20rate%20constant" title=" reaction rate constant"> reaction rate constant</a>, <a href="https://publications.waset.org/abstracts/search?q=PBL%20teaching" title=" PBL teaching"> PBL teaching</a>, <a href="https://publications.waset.org/abstracts/search?q=dialectical%20relation" title=" dialectical relation"> dialectical relation</a>, <a href="https://publications.waset.org/abstracts/search?q=innovative%20thinking" title=" innovative thinking"> innovative thinking</a> </p> <a href="https://publications.waset.org/abstracts/161693/teaching-and-learning-dialectical-relationship-between-thermodynamic-equilibrium-and-reaction-rate-constant" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/161693.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">110</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7045</span> Stability of Out-Of-Plane Equilibrium Points in the Elliptic Restricted Three-Body Problem with Oblateness up to Zonal Harmonic J₄ of Both Primaries</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Kanshio%20Richard%20Tyokyaa">Kanshio Richard Tyokyaa</a>, <a href="https://publications.waset.org/abstracts/search?q=Jagadish%20Singh"> Jagadish Singh</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, we examined the location and stability of Out-Of-Plane Equilibrium points in the elliptic restricted three-body problem of an infinitesimal body when both primaries are taken as oblate spheroids with oblateness up to zonal harmonic J₄. The positions of the Equilibrium points L₆,₇ and their stability depend on the oblateness of the primaries and the eccentricity of their orbits. We explored the problem numerically to show the effects of parameters involved in the position and stability of the Out-Of-Plane Equilibrium points for the systems: HD188753 and Gliese 667. It is found that their positions are affected by the oblateness of the primaries, eccentricity and the semi-major axis of the orbits, but its stability behavior remains unchanged and is unstable. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=out-of-plane" title="out-of-plane">out-of-plane</a>, <a href="https://publications.waset.org/abstracts/search?q=equilibrium%20points" title=" equilibrium points"> equilibrium points</a>, <a href="https://publications.waset.org/abstracts/search?q=stability" title=" stability"> stability</a>, <a href="https://publications.waset.org/abstracts/search?q=elliptic%20restricted%20three-body%20problem" title=" elliptic restricted three-body problem"> elliptic restricted three-body problem</a>, <a href="https://publications.waset.org/abstracts/search?q=oblateness" title=" oblateness"> oblateness</a>, <a href="https://publications.waset.org/abstracts/search?q=zonal%20harmonic" title=" zonal harmonic"> zonal harmonic</a> </p> <a href="https://publications.waset.org/abstracts/91381/stability-of-out-of-plane-equilibrium-points-in-the-elliptic-restricted-three-body-problem-with-oblateness-up-to-zonal-harmonic-j4-of-both-primaries" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/91381.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">193</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7044</span> GAC Adsorption Modelling of Metsulfuron Methyl from Water</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Nathaporn%20Areerachakul">Nathaporn Areerachakul</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this study, the adsorption capacity of GAC with metsulfuron methyl was evaluated by using adsorption equilibrium and a fixed bed. Mathematical modelling was also used to simulate the GAC adsorption behavior. Adsorption equilibrium experiment of GAC was conducted using a constant concentration of metsulfuron methyl of 10 mg/L. The purpose of this study was to find the single component equilibrium concentration of herbicide. The adsorption behavior was simulated using the Langmuir, Freundlich, and Sips isotherm. The Sips isotherm fitted the experimental data reasonably well with an error of 6.6 % compared with 15.72 % and 7.07% for the Langmuir isotherm and Freudrich isotherm. Modelling using GAC adsorption theory could not replicate the experimental results in fixed bed column of 10 and 15 cm bed depths after a period more than 10 days of operation. This phenomenon is attributed to the formation of micro-organism (BAC) on the surface of GAC in addition to GAC alone. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=isotherm" title="isotherm">isotherm</a>, <a href="https://publications.waset.org/abstracts/search?q=adsorption%20equilibrium" title=" adsorption equilibrium"> adsorption equilibrium</a>, <a href="https://publications.waset.org/abstracts/search?q=GAC" title=" GAC"> GAC</a>, <a href="https://publications.waset.org/abstracts/search?q=metsulfuron%20methyl" title=" metsulfuron methyl"> metsulfuron methyl</a> </p> <a href="https://publications.waset.org/abstracts/8935/gac-adsorption-modelling-of-metsulfuron-methyl-from-water" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/8935.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">310</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7043</span> Using Axiomatic Design for Developing a Framework of Manufacturing Cloud Service Composition in the Equilibrium State</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Ehsan%20Vaziri%20Goodarzi">Ehsan Vaziri Goodarzi</a>, <a href="https://publications.waset.org/abstracts/search?q=Mahmood%20Houshmand"> Mahmood Houshmand</a>, <a href="https://publications.waset.org/abstracts/search?q=Omid%20Fatahi%20Valilai"> Omid Fatahi Valilai</a>, <a href="https://publications.waset.org/abstracts/search?q=Vahidreza%20Ghezavati"> Vahidreza Ghezavati</a>, <a href="https://publications.waset.org/abstracts/search?q=Shahrooz%20Bamdad"> Shahrooz Bamdad</a> </p> <p class="card-text"><strong>Abstract:</strong></p> One important paradigm of industry 4.0 is Cloud Manufacturing (CM). In CM everything is considered as a service, therefore, the CM platform should consider all service provider's capabilities and tries to integrate services in an equilibrium state. This research develops a framework for implementing manufacturing cloud service composition in the equilibrium state. The developed framework using well-known tools called axiomatic design (AD) and game theory. The research has investigated the factors for forming equilibrium for measures of the manufacturing cloud service composition. Functional requirements (FRs) represent the measures of manufacturing cloud service composition in the equilibrium state. These FRs satisfied by related Design Parameters (DPs). The FRs and DPs are defined by considering the game theory, QoS, consumer needs, parallel and cooperative services. Ultimately, four FRs and DPs represent the framework. To insure the validity of the framework, the authors have used the first AD’s independent axiom. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=axiomatic%20design" title="axiomatic design">axiomatic design</a>, <a href="https://publications.waset.org/abstracts/search?q=manufacturing%20cloud%20service%20composition" title=" manufacturing cloud service composition"> manufacturing cloud service composition</a>, <a href="https://publications.waset.org/abstracts/search?q=cloud%20manufacturing" title=" cloud manufacturing"> cloud manufacturing</a>, <a href="https://publications.waset.org/abstracts/search?q=industry%204.0" title=" industry 4.0"> industry 4.0</a> </p> <a href="https://publications.waset.org/abstracts/113120/using-axiomatic-design-for-developing-a-framework-of-manufacturing-cloud-service-composition-in-the-equilibrium-state" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/113120.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">173</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7042</span> Application of the Finite Window Method to a Time-Dependent Convection-Diffusion Equation</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Raoul%20Ouambo%20Tobou">Raoul Ouambo Tobou</a>, <a href="https://publications.waset.org/abstracts/search?q=Alexis%20Kuitche"> Alexis Kuitche</a>, <a href="https://publications.waset.org/abstracts/search?q=Marcel%20Edoun"> Marcel Edoun</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The FWM (Finite Window Method) is a new numerical meshfree technique for solving problems defined either in terms of PDEs (Partial Differential Equation) or by a set of conservation/equilibrium laws. The principle behind the FWM is that in such problem each element of the concerned domain is interacting with its neighbors and will always try to adapt to keep in equilibrium with respect to those neighbors. This leads to a very simple and robust problem solving scheme, well suited for transfer problems. In this work, we have applied the FWM to an unsteady scalar convection-diffusion equation. Despite its simplicity, it is well known that convection-diffusion problems can be challenging to be solved numerically, especially when convection is highly dominant. This has led researchers to set the scalar convection-diffusion equation as a benchmark one used to analyze and derive the required conditions or artifacts needed to numerically solve problems where convection and diffusion occur simultaneously. We have shown here that the standard FWM can be used to solve convection-diffusion equations in a robust manner as no adjustments (Upwinding or Artificial Diffusion addition) were required to obtain good results even for high Peclet numbers and coarse space and time steps. A comparison was performed between the FWM scheme and both a first order implicit Finite Volume Scheme (Upwind scheme) and a third order implicit Finite Volume Scheme (QUICK Scheme). The results of the comparison was that for equal space and time grid spacing, the FWM yields a much better precision than the used Finite Volume schemes, all having similar computational cost and conditioning number. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Finite%20Window%20Method" title="Finite Window Method">Finite Window Method</a>, <a href="https://publications.waset.org/abstracts/search?q=Convection-Diffusion" title=" Convection-Diffusion"> Convection-Diffusion</a>, <a href="https://publications.waset.org/abstracts/search?q=Numerical%20Technique" title=" Numerical Technique"> Numerical Technique</a>, <a href="https://publications.waset.org/abstracts/search?q=Convergence" title=" Convergence"> Convergence</a> </p> <a href="https://publications.waset.org/abstracts/66015/application-of-the-finite-window-method-to-a-time-dependent-convection-diffusion-equation" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/66015.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">332</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7041</span> Removal of Pb²⁺ from Waste Water Using Nano Silica Spheres Synthesized on CaCO₃ as a Template: Equilibrium and Thermodynamic Studies</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Milton%20Manyangadze">Milton Manyangadze</a>, <a href="https://publications.waset.org/abstracts/search?q=Joseph%20Govha"> Joseph Govha</a>, <a href="https://publications.waset.org/abstracts/search?q=T.%20Bala%20Narsaiah"> T. Bala Narsaiah</a>, <a href="https://publications.waset.org/abstracts/search?q=Ch.%20Shilpa%20Chakra"> Ch. Shilpa Chakra</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The availability and access to fresh water is today a serious global challenge. This has been a direct result of factors such as the current rapid industrialization and industrial growth, persistent droughts in some parts of the world, especially in the sub-Saharan Africa as well as population growth. Growth of the chemical processing industry has also seen an increase in the levels of pollutants in our water bodies which include heavy metals among others. Heavy metals are known to be dangerous to both human and aquatic life. As such, they have been linked to several diseases. This is mainly because they are highly toxic. They are also known to be bio accumulative and non-biodegradable. Lead for example, has been linked to a number of health problems which include damage of vital internal body systems like the nervous and reproductive system as well as the kidneys. From this background therefore, the removal of the toxic heavy metal, Pb2+ from waste water was investigated using nano silica hollow spheres (NSHS) as the adsorbent. Synthesis of NSHS was done using a three-stage process in which CaCO3 nanoparticles were initially prepared as a template. This was followed by treatment of the formed oxide particles with NaSiO3 to give a nanocomposite. Finally, the template was destroyed using 2.0M HCl to give NSHS. Characterization of the nanoparticles was done using analytical techniques like XRD, SEM, and TGA. For the adsorption process, both thermodynamic and equilibrium studies were carried out. Thermodynamic studies were carried out and the Gibbs free energy, Enthalpy and Entropy of the adsorption process were determined. The results revealed that the adsorption process was both endothermic and spontaneous. Equilibrium studies were also carried out in which the Langmuir and Freundlich isotherms were tested. The results showed that the Langmuir model best described the adsorption equilibrium. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=characterization" title="characterization">characterization</a>, <a href="https://publications.waset.org/abstracts/search?q=endothermic" title=" endothermic"> endothermic</a>, <a href="https://publications.waset.org/abstracts/search?q=equilibrium%20studies" title=" equilibrium studies"> equilibrium studies</a>, <a href="https://publications.waset.org/abstracts/search?q=Freundlich" title=" Freundlich"> Freundlich</a>, <a href="https://publications.waset.org/abstracts/search?q=Langmuir" title=" Langmuir"> Langmuir</a>, <a href="https://publications.waset.org/abstracts/search?q=nanoparticles" title=" nanoparticles"> nanoparticles</a>, <a href="https://publications.waset.org/abstracts/search?q=thermodynamic%20studies" title=" thermodynamic studies"> thermodynamic studies</a> </p> <a href="https://publications.waset.org/abstracts/69806/removal-of-pb2-from-waste-water-using-nano-silica-spheres-synthesized-on-caco3-as-a-template-equilibrium-and-thermodynamic-studies" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/69806.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">215</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7040</span> A Computational Study on Solvent Effects on the Keto-Enol Tautomeric Equilibrium of Dimedone and Acetylacetone 1,3- Dicabonyls</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Imad%20Eddine%20Charif">Imad Eddine Charif</a>, <a href="https://publications.waset.org/abstracts/search?q=Sidi%20Mohamed%20Mekelleche"> Sidi Mohamed Mekelleche</a>, <a href="https://publications.waset.org/abstracts/search?q=Didier%20Villemin"> Didier Villemin</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The solvent effects on the keto-enol tautomeric equilibriums of acetylacetone and dimedone are theoretically investigated at the correlated Becke-3-parameter-Lee-Yang-Parr (B3LYP) and second-order Møller-Plesset (MP2) computational levels. The present study shows that the most stable keto tautomer of acetylacetone corresponds to the trans-diketo, E,Z form; while the most stable enol tautomer corresponds to the closed cis-enol,Z,Z form. The keto tautomer of dimedone prefers the trans diketo, E, E form; while the most stable enol tautomer corresponds to trans-enol form. The calculated free Gibbs enthalpies indicate that, in polar solvents, the keto-enol equilibrium of acetylacetone is shifted toward the keto tautomer; whereas the keto-enol equilibrium of dimedone is shifted towards the enol tautomer. The experimental trends of the change of equilibrium constants with respect to the change of solvent polarity are well reproduced by both B3LYP and MP2 calculations. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=acetylacetone" title="acetylacetone">acetylacetone</a>, <a href="https://publications.waset.org/abstracts/search?q=dimedone" title=" dimedone"> dimedone</a>, <a href="https://publications.waset.org/abstracts/search?q=solvent%20effects" title=" solvent effects"> solvent effects</a>, <a href="https://publications.waset.org/abstracts/search?q=keto-enol%20equilibrium" title=" keto-enol equilibrium"> keto-enol equilibrium</a>, <a href="https://publications.waset.org/abstracts/search?q=theoretical%20calculations" title=" theoretical calculations"> theoretical calculations</a> </p> <a href="https://publications.waset.org/abstracts/6506/a-computational-study-on-solvent-effects-on-the-keto-enol-tautomeric-equilibrium-of-dimedone-and-acetylacetone-13-dicabonyls" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/6506.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">448</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7039</span> Analysis of Nonlinear Bertrand Duopoly Game with Heterogeneous Players</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Jixiang%20Zhang">Jixiang Zhang</a> </p> <p class="card-text"><strong>Abstract:</strong></p> A dynamic of Bertrand duopoly game is analyzed, where players use different production methods and choose their prices with bounded rationality. The equilibriums of the corresponding discrete dynamical systems are investigated. The stability conditions of Nash equilibrium under a local adjustment process are studied. The stability conditions of Nash equilibrium under a local adjustment process are studied. The stability of Nash equilibrium, as some parameters of the model are varied, gives rise to complex dynamics such as cycles of higher order and chaos. On this basis, we discover that an increase of adjustment speed of bounded rational player can make Bertrand market sink into the chaotic state. Finally, the complex dynamics, bifurcations and chaos are displayed by numerical simulation. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Bertrand%20duopoly%20model" title="Bertrand duopoly model">Bertrand duopoly model</a>, <a href="https://publications.waset.org/abstracts/search?q=discrete%20dynamical%20system" title=" discrete dynamical system"> discrete dynamical system</a>, <a href="https://publications.waset.org/abstracts/search?q=heterogeneous%20expectations" title=" heterogeneous expectations"> heterogeneous expectations</a>, <a href="https://publications.waset.org/abstracts/search?q=nash%20equilibrium" title=" nash equilibrium"> nash equilibrium</a> </p> <a href="https://publications.waset.org/abstracts/16405/analysis-of-nonlinear-bertrand-duopoly-game-with-heterogeneous-players" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/16405.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">407</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7038</span> Dynamic of Nonlinear Duopoly Game with Heterogeneous Players</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Jixiang%20Zhang">Jixiang Zhang</a>, <a href="https://publications.waset.org/abstracts/search?q=Yanhua%20Wang"> Yanhua Wang</a> </p> <p class="card-text"><strong>Abstract:</strong></p> A dynamic of Bertrand duopoly game is analyzed, where players use different production methods and choose their prices with bounded rationality. The equilibriums of the corresponding discrete dynamical systems are investigated. The stability conditions of Nash equilibrium under a local adjustment process are studied. The stability conditions of Nash equilibrium under a local adjustment process are studied. The stability of Nash equilibrium, as some parameters of the model are varied, gives rise to complex dynamics such as cycles of higher order and chaos. On this basis, we discover that an increase of adjustment speed of bounded rational player can make Bertrand market sink into the chaotic state. Finally, the complex dynamics, bifurcations and chaos are displayed by numerical simulation. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Bertrand%20duopoly%20model" title="Bertrand duopoly model">Bertrand duopoly model</a>, <a href="https://publications.waset.org/abstracts/search?q=discrete%20dynamical%20system" title=" discrete dynamical system"> discrete dynamical system</a>, <a href="https://publications.waset.org/abstracts/search?q=heterogeneous%20expectations" title=" heterogeneous expectations"> heterogeneous expectations</a>, <a href="https://publications.waset.org/abstracts/search?q=nash%20equilibrium" title=" nash equilibrium"> nash equilibrium</a> </p> <a href="https://publications.waset.org/abstracts/37350/dynamic-of-nonlinear-duopoly-game-with-heterogeneous-players" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/37350.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">415</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7037</span> Effect of Transition Metal Addition on Aging Behavior of Invar Alloy</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Young%20Sik%20Kim">Young Sik Kim</a>, <a href="https://publications.waset.org/abstracts/search?q=Tae%20Kwon%20Ha"> Tae Kwon Ha</a> </p> <p class="card-text"><strong>Abstract:</strong></p> High strength Fe-36Ni-base Invar alloys containing Al contents up to 0.3 weight per cent were cast into ingots and thermodynamic equilibrium during solidification has been investigated in this study. From the thermodynamic simulation using Thermo-Calc®, it has been revealed that equilibrium phases which can be formed are two kinds of MC-type precipitates, MoC, and M2C carbides. The mu phase was also expected to form by addition of aluminum. Microstructure observation revealed the coarse precipitates in the as-cast ingots, which was non-equilibrium phase and could be resolved by the successive heat treatment. With increasing Al contents up to 0.3 wt.%, tensile strength of Invar alloy increased as 1400MPa after cold rolling and thermal expansion coefficient increased significantly. Cold rolling appeared to dramatically decrease thermal expansion coefficient. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Invar%20alloy" title="Invar alloy">Invar alloy</a>, <a href="https://publications.waset.org/abstracts/search?q=transition%20metals" title=" transition metals"> transition metals</a>, <a href="https://publications.waset.org/abstracts/search?q=phase%20equilibrium" title=" phase equilibrium"> phase equilibrium</a>, <a href="https://publications.waset.org/abstracts/search?q=aging%20behavior" title=" aging behavior"> aging behavior</a>, <a href="https://publications.waset.org/abstracts/search?q=microstructure" title=" microstructure"> microstructure</a>, <a href="https://publications.waset.org/abstracts/search?q=hardness" title=" hardness"> hardness</a> </p> <a href="https://publications.waset.org/abstracts/26118/effect-of-transition-metal-addition-on-aging-behavior-of-invar-alloy" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/26118.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">532</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7036</span> Preference Aggregation and Mechanism Design in the Smart Grid</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Zaid%20Jamal%20Saeed%20Almahmoud">Zaid Jamal Saeed Almahmoud</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Smart Grid is the vision of the future power system that combines advanced monitoring and communication technologies to provide energy in a smart, efficient, and user-friendly manner. This proposal considers a demand response model in the Smart Grid based on utility maximization. Given a set of consumers with conflicting preferences in terms of consumption and a utility company that aims to minimize the peak demand and match demand to supply, we study the problem of aggregating these preferences while modelling the problem as a game. We also investigate whether an equilibrium can be reached to maximize the social benefit. Based on such equilibrium, we propose a dynamic pricing heuristic that computes the equilibrium and sets the prices accordingly. The developed approach was analysed theoretically and evaluated experimentally using real appliances data. The results show that our proposed approach achieves a substantial reduction in the overall energy consumption. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=heuristics" title="heuristics">heuristics</a>, <a href="https://publications.waset.org/abstracts/search?q=smart%20grid" title=" smart grid"> smart grid</a>, <a href="https://publications.waset.org/abstracts/search?q=aggregation" title=" aggregation"> aggregation</a>, <a href="https://publications.waset.org/abstracts/search?q=mechanism%20design" title=" mechanism design"> mechanism design</a>, <a href="https://publications.waset.org/abstracts/search?q=equilibrium" title=" equilibrium"> equilibrium</a> </p> <a href="https://publications.waset.org/abstracts/158815/preference-aggregation-and-mechanism-design-in-the-smart-grid" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/158815.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">113</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7035</span> A Mathematical Model for Hepatitis B Virus Infection and the Impact of Vaccination on Its Dynamics</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=T.%20G.%20Kassem">T. G. Kassem</a>, <a href="https://publications.waset.org/abstracts/search?q=A.%20K.%20Adunchezor"> A. K. Adunchezor</a>, <a href="https://publications.waset.org/abstracts/search?q=J.%20P.%20Chollom"> J. P. Chollom</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper describes a mathematical model developed to predict the dynamics of Hepatitis B virus (HBV) infection and to evaluate the potential impact of vaccination and treatment on its dynamics. We used a compartmental model expressed by a set of differential equations based on the characteristic of HBV transmission. With these, we find the threshold quantity R0, then find the local asymptotic stability of disease free equilibrium and endemic equilibrium. Furthermore, we find the global stability of the disease free and endemic equilibrium. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=hepatitis%20B%20virus" title="hepatitis B virus">hepatitis B virus</a>, <a href="https://publications.waset.org/abstracts/search?q=epidemiology" title=" epidemiology"> epidemiology</a>, <a href="https://publications.waset.org/abstracts/search?q=vaccination" title=" vaccination"> vaccination</a>, <a href="https://publications.waset.org/abstracts/search?q=mathematical%20model" title=" mathematical model"> mathematical model</a> </p> <a href="https://publications.waset.org/abstracts/6070/a-mathematical-model-for-hepatitis-b-virus-infection-and-the-impact-of-vaccination-on-its-dynamics" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/6070.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">324</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7034</span> Controversies and Contradiction in (IR) Reversibility and the Equilibrium of Reactive Systems</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Joao%20Teotonio%20Manzi">Joao Teotonio Manzi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Reversibility, irreversibility, equilibrium and steady-state that play a central role in the thermodynamic analysis of processes arising in the context of reactive systems are discussed in this article. Such concepts have generated substantial doubts, even among the most experienced researchers, and engineers, because from the literature, conclusive or definitive statements cannot be extracted. Concepts such as the time-reversibility of irreversible processes seem paradoxical, requiring further analysis. Equilibrium and reversibility, which appear to be of the same nature, have also been re-examined in the light of maximum entropy. The goal of this paper is to revisit and explore these concepts based on classical thermodynamics in order to have a better understanding them due to their impacts on technological advances, as a result, to generate an optimal procedure for designing, monitoring, and engineering optimization. Furthermore, an effective graphic procedure for dimensioning a Plug Flow Reactor has been provided. Thus, to meet the needs of chemical engineering from a simple conceptual analysis but with significant practical effects, a macroscopic approach is taken so as to integrate the different parts of this paper. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=reversibility" title="reversibility">reversibility</a>, <a href="https://publications.waset.org/abstracts/search?q=equilibrium" title=" equilibrium"> equilibrium</a>, <a href="https://publications.waset.org/abstracts/search?q=steady-state" title=" steady-state"> steady-state</a>, <a href="https://publications.waset.org/abstracts/search?q=thermodynamics" title=" thermodynamics"> thermodynamics</a>, <a href="https://publications.waset.org/abstracts/search?q=reactive%20system" title=" reactive system"> reactive system</a> </p> <a href="https://publications.waset.org/abstracts/144272/controversies-and-contradiction-in-ir-reversibility-and-the-equilibrium-of-reactive-systems" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/144272.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">106</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7033</span> Effect of Piston and its Weight on the Performance of a Gun Tunnel via Computational Fluid Dynamics</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=A.%20A.%20Ahmadi">A. A. Ahmadi</a>, <a href="https://publications.waset.org/abstracts/search?q=A.%20R.%20Pishevar"> A. R. Pishevar</a>, <a href="https://publications.waset.org/abstracts/search?q=M.%20Nili"> M. Nili</a> </p> <p class="card-text"><strong>Abstract:</strong></p> As the test gas in a gun tunnel is non-isentropically compressed and heated by a light weight piston. Here, first consideration is the optimum piston weight. Although various aspects of the influence of piston weight on gun tunnel performance have been studied, it is not possible to decide from the existing literature what piston weight is required for optimum performance in various conditions. The technique whereby the piston is rapidly brought to rest at the end of the gun tunnel barrel, and the resulted peak pressure is equal in magnitude to the final equilibrium pressure, is called the equilibrium piston technique. The equilibrium piston technique was developed to estimate the equilibrium piston mass; but this technique cannot give an appropriate estimate for the optimum piston weight. In the present work, a gun tunnel with diameter of 3 in. is described and its performance is investigated numerically to obtain the effect of piston and its weight. Numerical results in the present work are in very good agreement with experimental results. Significant influence of the existence of a piston is shown by comparing the gun tunnel results with results of a conventional shock tunnel in the same dimension and same initial condition. In gun tunnel, an increase of around 250% in running time is gained relative to shock tunnel. Also, Numerical results show that equilibrium piston technique is not a good way to estimate suitable piston weight and there will be a lighter piston which can increase running time of the gun tunnel around 60%. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=gun%20tunnel" title="gun tunnel">gun tunnel</a>, <a href="https://publications.waset.org/abstracts/search?q=hypersonic%20flow" title=" hypersonic flow"> hypersonic flow</a>, <a href="https://publications.waset.org/abstracts/search?q=piston" title=" piston"> piston</a>, <a href="https://publications.waset.org/abstracts/search?q=shock%20tunnel" title=" shock tunnel"> shock tunnel</a> </p> <a href="https://publications.waset.org/abstracts/37641/effect-of-piston-and-its-weight-on-the-performance-of-a-gun-tunnel-via-computational-fluid-dynamics" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/37641.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">373</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7032</span> Effect of Al Addition on Microstructure and Physical Properties of Fe-36Ni Invar Alloy</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Seok%20Hong%20Min">Seok Hong Min</a>, <a href="https://publications.waset.org/abstracts/search?q=Tae%20Kwon%20Ha"> Tae Kwon Ha</a> </p> <p class="card-text"><strong>Abstract:</strong></p> High strength Fe-36Ni-base Invar alloys containing Al contents up to 0.3 weight percent were cast into ingots and thermodynamic equilibrium during solidification has been investigated in this study. From the thermodynamic simulation using Thermo-Calc®, it has been revealed that equilibrium phases which can be formed are two kinds of MC-type precipitates, MoC, and M2C carbides. The mu phase was also expected to form by addition of aluminum. Microstructure observation revealed the coarse precipitates in the as-cast ingots, which was non-equilibrium phase and could be resolved by the successive heat treatment. With increasing Al contents up to 0.3 wt.%, tensile strength of Invar alloy increased as 1400MPa after cold rolling and thermal expansion coefficient increased significantly. Cold rolling appeared to dramatically decrease thermal expansion coefficient. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=invar%20alloy" title="invar alloy">invar alloy</a>, <a href="https://publications.waset.org/abstracts/search?q=aluminum" title=" aluminum"> aluminum</a>, <a href="https://publications.waset.org/abstracts/search?q=phase%20equilibrium" title=" phase equilibrium"> phase equilibrium</a>, <a href="https://publications.waset.org/abstracts/search?q=thermal%20expansion%20coefficient" title=" thermal expansion coefficient"> thermal expansion coefficient</a>, <a href="https://publications.waset.org/abstracts/search?q=microstructure" title=" microstructure"> microstructure</a>, <a href="https://publications.waset.org/abstracts/search?q=tensile%20properties" title=" tensile properties"> tensile properties</a> </p> <a href="https://publications.waset.org/abstracts/9726/effect-of-al-addition-on-microstructure-and-physical-properties-of-fe-36ni-invar-alloy" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/9726.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">371</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7031</span> Bioeconomic Modeling for the Sustainable Exploitation of Three Key Marine Species in Morocco</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=I%20.Ait%20El%20Harch">I .Ait El Harch</a>, <a href="https://publications.waset.org/abstracts/search?q=K.%20Outaaoui"> K. Outaaoui</a>, <a href="https://publications.waset.org/abstracts/search?q=Y.%20El%20Foutayeni"> Y. El Foutayeni</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This study aims to deepen the understanding and optimize fishing activity in Morocco by holistically integrating biological and economic aspects. We develop a biological equilibrium model in which these competing species present their natural growth by logistic equations, taking into account density and competition between them. The integration of human intervention adds a realistic dimension to our model. A company specifically targets the three species, thus influencing population dynamics according to their fishing activities. The aim of this work is to determine the fishing effort that maximizes the company’s profit, taking into account the constraints associated with conserving ecosystem equilibrium. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=bioeconomical%20modeling" title="bioeconomical modeling">bioeconomical modeling</a>, <a href="https://publications.waset.org/abstracts/search?q=optimization%20techniques" title=" optimization techniques"> optimization techniques</a>, <a href="https://publications.waset.org/abstracts/search?q=linear%20complementarity%20problem%20LCP" title=" linear complementarity problem LCP"> linear complementarity problem LCP</a>, <a href="https://publications.waset.org/abstracts/search?q=biological%20equilibrium" title=" biological equilibrium"> biological equilibrium</a>, <a href="https://publications.waset.org/abstracts/search?q=maximizing%20profits" title=" maximizing profits"> maximizing profits</a> </p> <a href="https://publications.waset.org/abstracts/191741/bioeconomic-modeling-for-the-sustainable-exploitation-of-three-key-marine-species-in-morocco" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/191741.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">25</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7030</span> Response Solutions of 2-Dimensional Elliptic Degenerate Quasi-Periodic Systems With Small Parameters</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Song%20Ni">Song Ni</a>, <a href="https://publications.waset.org/abstracts/search?q=Junxiang%20Xu"> Junxiang Xu</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper concerns quasi-periodic perturbations with parameters of 2-dimensional degenerate systems. If the equilibrium point of the unperturbed system is elliptic-type degenerate. Assume that the perturbation is real analytic quasi-periodic with diophantine frequency. Without imposing any assumption on the perturbation, we can use a path of equilibrium points to tackle with the Melnikov non-resonance condition, then by the Leray-Schauder Continuation Theorem and the Kolmogorov-Arnold-Moser technique, it is proved that the equation has a small response solution for many sufficiently small parameters. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=quasi-periodic%20systems" title="quasi-periodic systems">quasi-periodic systems</a>, <a href="https://publications.waset.org/abstracts/search?q=KAM-iteration" title=" KAM-iteration"> KAM-iteration</a>, <a href="https://publications.waset.org/abstracts/search?q=degenerate%20equilibrium%20point" title=" degenerate equilibrium point"> degenerate equilibrium point</a>, <a href="https://publications.waset.org/abstracts/search?q=response%20solution" title=" response solution"> response solution</a> </p> <a href="https://publications.waset.org/abstracts/175183/response-solutions-of-2-dimensional-elliptic-degenerate-quasi-periodic-systems-with-small-parameters" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/175183.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">86</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7029</span> A Game Theory Analysis of The Enuma Elish</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Bo%20Kampmann%20Walther">Bo Kampmann Walther</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This essay provides an in-depth interpretation of the ancient Babylonian origin narrative, The Enuma Elish, through the lens of game theory. It examines the strategic interactions among the deities in the myth as if they were players in a game, focusing on understanding the dynamics of conflict, cooperation, and equilibrium within the narrative. The pivotal game theory concept known as Nash Equilibrium is given prominent consideration, but saddle points and optimal strategies will also be employed to uncover the decision-making processes of the divine figures, particularly in the cosmic battle for supremacy. This analysis demonstrates that the ancient narrative, beyond its mythological content, illustrates timeless principles of strategic behavior in the pursuit of game success. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Enuma%20Elish" title="Enuma Elish">Enuma Elish</a>, <a href="https://publications.waset.org/abstracts/search?q=game%20theory" title=" game theory"> game theory</a>, <a href="https://publications.waset.org/abstracts/search?q=Nash%20Equilibrium" title=" Nash Equilibrium"> Nash Equilibrium</a>, <a href="https://publications.waset.org/abstracts/search?q=Babylonian%20mythology" title=" Babylonian mythology"> Babylonian mythology</a>, <a href="https://publications.waset.org/abstracts/search?q=strategic%20interaction" title=" strategic interaction"> strategic interaction</a> </p> <a href="https://publications.waset.org/abstracts/191404/a-game-theory-analysis-of-the-enuma-elish" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/191404.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">29</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7028</span> Study of Mixed Convection in a Vertical Channel Filled with a Reactive Porous Medium in the Absence of Local Thermal Equilibrium</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Hamid%20Maidat">Hamid Maidat</a>, <a href="https://publications.waset.org/abstracts/search?q=Khedidja%20Bouhadef"> Khedidja Bouhadef</a>, <a href="https://publications.waset.org/abstracts/search?q=Djamel%20Eddine%20Ameziani"> Djamel Eddine Ameziani</a>, <a href="https://publications.waset.org/abstracts/search?q=Azzedine%20Abdedou"> Azzedine Abdedou</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This work consists of a numerical simulation of convective heat transfer in a vertical plane channel filled with a heat generating porous medium, in the absence of local thermal equilibrium. The walls are maintained to a constant temperature and the inlet velocity is uniform. The dynamic range is described by the Darcy-Brinkman model and the thermal field by two energy equations model. A dimensionless formulation is developed for performing a parametric study based on certain dimensionless groups such as, the Biot interstitial number, the thermal conductivity ratio and the volumetric heat generation. The governing equations are solved using the finite volume method, gave rise to a multitude of results concerning in particular the thermal field in the porous channel and the existence or not of the local thermal equilibrium. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=local%20thermal%20non%20equilibrium%20model" title="local thermal non equilibrium model">local thermal non equilibrium model</a>, <a href="https://publications.waset.org/abstracts/search?q=mixed%20convection" title=" mixed convection"> mixed convection</a>, <a href="https://publications.waset.org/abstracts/search?q=porous%20medium" title=" porous medium"> porous medium</a>, <a href="https://publications.waset.org/abstracts/search?q=power%20generation" title=" power generation"> power generation</a> </p> <a href="https://publications.waset.org/abstracts/32918/study-of-mixed-convection-in-a-vertical-channel-filled-with-a-reactive-porous-medium-in-the-absence-of-local-thermal-equilibrium" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/32918.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">605</span> </span> </div> </div> <ul class="pagination"> <li class="page-item disabled"><span class="page-link">&lsaquo;</span></li> <li class="page-item active"><span class="page-link">1</span></li> <li class="page-item"><a class="page-link" href="https://publications.waset.org/abstracts/search?q=equilibrium%20problems&page=2">2</a></li> <li class="page-item"><a class="page-link" href="https://publications.waset.org/abstracts/search?q=equilibrium%20problems&page=3">3</a></li> <li class="page-item"><a class="page-link" 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