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accesskey="">How to use the MSC</a> </div> </div> </li> </ul> <div class="topFolder" id="folder2"> <script type="text/javascript"> $(document).ready(function() { $("#search2").autocomplete("search.html",{autoFill:false, matchContains: 1, onItemSelect: function() {$("form").submit()}}); }); </script> <div class="folderWrap1"> <div class="folderWrap2"> <div class="folderWrap4"> <div class="folderContent"> <form name="searchMSC2" method="get" action="msc2020.html" style="width: auto;"> <div class="summary" id="summary2"> </div> <br style="clear: both;" /> <div class="widgets"> <div class="controlsPosition2"> <h3>Browse Classification</h3> <span class="enter_msc" style="float:both;">Select a 2 digit classification</span><br /> <select name="t" id="selectTarget2" tabindex="1" onchange="if (this.value != '') { this.form.elements[2].click(); }"> <option value="">Select a Mathematics subject classification</option> <option value="00-XX">00 General and overarching topics; collections</option> <option value="01-XX">01 History and biography</option> <option value="03-XX">03 Mathematical logic and foundations</option> <option value="05-XX">05 Combinatorics </option> <option value="06-XX">06 Order, lattices, ordered algebraic structures</option> <option value="08-XX">08 General algebraic systems</option> <option value="11-XX">11 Number theory</option> <option value="12-XX">12 Field theory and polynomials</option> <option value="13-XX">13 Commutative algebra</option> <option value="14-XX">14 Algebraic geometry</option> <option value="15-XX">15 Linear and multilinear algebra; matrix theory</option> <option value="16-XX">16 Associative rings and algebras </option> <option value="17-XX">17 Nonassociative rings and algebras</option> <option value="18-XX">18 Category theory; homological algebra </option> <option value="19-XX">19 $K$-theory</option> <option value="20-XX">20 Group theory and generalizations</option> <option value="22-XX">22 Topological groups, Lie groups </option> <option value="26-XX">26 Real functions</option> <option value="28-XX">28 Measure and integration </option> <option value="30-XX">30 Functions of a complex variable</option> <option value="31-XX">31 Potential theory </option> <option value="32-XX">32 Several complex variables and analytic spaces </option> <option value="33-XX">33 Special functions (33-XX deals with the properties of functions as functions) </option> <option value="34-XX">34 Ordinary differential equations</option> <option value="35-XX">35 Partial differential equations</option> <option value="37-XX">37 Dynamical systems and ergodic theory</option> <option value="39-XX">39 Difference and functional equations</option> <option value="40-XX">40 Sequences, series, summability</option> <option value="41-XX">41 Approximations and expansions </option> <option value="42-XX">42 Harmonic analysis on Euclidean spaces</option> <option value="43-XX">43 Abstract harmonic analysis </option> <option value="44-XX">44 Integral transforms, operational calculus </option> <option value="45-XX">45 Integral equations</option> <option value="46-XX">46 Functional analysis </option> <option value="47-XX">47 Operator theory</option> <option value="49-XX">49 Calculus of variations and optimal control; optimization</option> <option value="51-XX">51 Geometry </option> <option value="52-XX">52 Convex and discrete geometry</option> <option value="53-XX">53 Differential geometry </option> <option value="54-XX">54 General topology </option> <option value="55-XX">55 Algebraic topology</option> <option value="57-XX">57 Manifolds and cell complexes </option> <option value="58-XX">58 Global analysis, analysis on manifolds</option> <option value="60-XX">60 Probability theory and stochastic processes </option> <option value="62-XX">62 Statistics</option> <option value="65-XX">65 Numerical analysis</option> <option value="68-XX">68 Computer science </option> <option value="70-XX">70 Mechanics of particles and systems </option> <option value="74-XX">74 Mechanics of deformable solids</option> <option selected="selected" value="76-02">76 Fluid mechanics </option> <option value="78-XX">78 Optics, electromagnetic theory </option> <option value="80-XX">80 Classical thermodynamics, heat transfer </option> <option value="81-XX">81 Quantum theory</option> <option value="82-XX">82 Statistical mechanics, structure of matter</option> <option value="83-XX">83 Relativity and gravitational theory</option> <option value="85-XX">85 Astronomy and astrophysics </option> <option value="86-XX">86 Geophysics</option> <option value="90-XX">90 Operations research, mathematical programming</option> <option value="91-XX">91 Game theory, economics, finance, and other social and behavioral sciences</option> <option value="92-XX">92 Biology and other natural sciences</option> <option value="93-XX">93 Systems theory; control </option> <option value="94-XX">94 Information and communication theory, circuits</option> <option value="97-XX">97 Mathematics education</option> </select> </div> <div class="controlsPosition"> <h3>Search Classifications</h3> <span class="enter_msc">Enter a keyword, phrase or a 2-, 3-, or 5-digit classification</span><br /> <input size="40" autocomplete="off" name="s" value="" id="search2" /> <div class="buttonBox"> <input name="btn" type="submit" value="Search" class="button" /> </div> </div> </div> <input type="hidden" name="ls" value="Ct" /> <div class="resultSet" id="resultSet2"> <div class="buttonBox"> <input type="submit" name="btn" value="Clear" class="button" /> </div> <span class="legend"> &lt; <a href="msc2020.html?t=74-XX&amp;btn=Current">74-XX</a> | <a href="msc2020.html?t=&amp;btn=Current">Up</a> | <a href="msc2020.html?t=78-XX&amp;btn=Current">78-XX</a> &gt; </span> <table class="results"> <tr class="current"> <td><a href="msc2020.html?t=76-XX&amp;btn=Current" title=""><b>76-XX</b></a></td> <td></td> <td></td> <td><b>Fluid mechanics {For general continuum mechanics, see <a href="msc2020.html?t=74Axx&amp;btn=Current">74Axx</a>, or other parts of <a href="msc2020.html?t=74-XX&amp;btn=Current">74-XX</a>}</b></td> </tr> <tr class="current"> <td></td> <td></td> <td>76-00&nbsp;&nbsp;</td> <td>General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to fluid mechanics</td> </tr> <tr class="current"> <td></td> <td></td> <td>76-01&nbsp;&nbsp;</td> <td>Introductory exposition (textbooks, tutorial papers, etc.) pertaining to fluid mechanics</td> </tr> <tr class="current"> <td></td> <td></td> <td><span class="highlight">76-02</span>&nbsp;&nbsp;</td> <td>Research exposition (monographs, survey articles) pertaining to fluid mechanics</td> </tr> <tr class="current"> <td></td> <td></td> <td>76-03&nbsp;&nbsp;</td> <td>History of fluid mechanics [Consider also classification numbers from Section <a href="msc2020.html?t=01-XX&amp;btn=Current">01-XX</a>]</td> </tr> <tr class="current"> <td></td> <td></td> <td>76-04&nbsp;&nbsp;</td> <td>Software, source code, etc. for problems pertaining to fluid mechanics</td> </tr> <tr class="current"> <td></td> <td></td> <td>76-05&nbsp;&nbsp;</td> <td>Experimental work for problems pertaining to fluid mechanics</td> </tr> <tr class="current"> <td></td> <td></td> <td>76-06&nbsp;&nbsp;</td> <td>Proceedings, conferences, collections, etc. pertaining to fluid mechanics</td> </tr> <tr class="current"> <td></td> <td></td> <td>76-10&nbsp;&nbsp;</td> <td>Mathematical modeling or simulation for problems pertaining to fluid mechanics</td> </tr> <tr class="current"> <td></td> <td></td> <td>76-11&nbsp;&nbsp;</td> <td>Research data for problems pertaining to fluid mechanics</td> </tr> <tr class="current"> <td></td> <td></td> <td>76A02&nbsp;&nbsp;</td> <td>Foundations of fluid mechanics</td> </tr> <tr class="current"> <td></td> <td></td> <td>76A05&nbsp;&nbsp;</td> <td>Non-Newtonian fluids</td> </tr> <tr class="current"> <td></td> <td></td> <td>76A10&nbsp;&nbsp;</td> <td>Viscoelastic fluids</td> </tr> <tr class="current"> <td></td> <td></td> <td>76A15&nbsp;&nbsp;</td> <td>Liquid crystals [See also <a href="msc2020.html?t=82D30&amp;btn=Current">82D30</a>]</td> </tr> <tr class="current"> <td></td> <td></td> <td>76A20&nbsp;&nbsp;</td> <td>Thin fluid films</td> </tr> <tr class="current"> <td></td> <td></td> <td>76A25&nbsp;&nbsp;</td> <td>Superfluids (classical aspects)</td> </tr> <tr class="current"> <td></td> <td></td> <td>76A30&nbsp;&nbsp;</td> <td>Traffic and pedestrian flow models</td> </tr> <tr class="current"> <td></td> <td></td> <td>76A99&nbsp;&nbsp;</td> <td>None of the above, but in this section</td> </tr> <tr class="current"> <td></td> <td></td> <td>76B03&nbsp;&nbsp;</td> <td>Existence, uniqueness, and regularity theory for incompressible inviscid fluids [See also <a href="msc2020.html?t=35Q35&amp;btn=Current">35Q35</a>]</td> </tr> <tr class="current"> <td></td> <td></td> <td>76B07&nbsp;&nbsp;</td> <td>Free-surface potential flows for incompressible inviscid fluids</td> </tr> <tr class="current"> <td></td> <td></td> <td>76B10&nbsp;&nbsp;</td> <td>Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing</td> </tr> <tr class="current"> <td></td> <td></td> <td>76B15&nbsp;&nbsp;</td> <td>Water waves, gravity waves; dispersion and scattering, nonlinear interaction [See also <a href="msc2020.html?t=35Q30&amp;btn=Current">35Q30</a>]</td> </tr> <tr class="current"> <td></td> <td></td> <td>76B20&nbsp;&nbsp;</td> <td>Ship waves</td> </tr> <tr class="current"> <td></td> <td></td> <td>76B25&nbsp;&nbsp;</td> <td>Solitary waves for incompressible inviscid fluids [See also <a href="msc2020.html?t=35C11&amp;btn=Current">35C11</a>]</td> </tr> <tr class="current"> <td></td> <td></td> <td>76B45&nbsp;&nbsp;</td> <td>Capillarity (surface tension) for incompressible inviscid fluids [See also <a href="msc2020.html?t=76D45&amp;btn=Current">76D45</a>]</td> </tr> <tr class="current"> <td></td> <td></td> <td>76B47&nbsp;&nbsp;</td> <td>Vortex flows for incompressible inviscid fluids</td> </tr> <tr class="current"> <td></td> <td></td> <td>76B55&nbsp;&nbsp;</td> <td>Internal waves for incompressible inviscid fluids</td> </tr> <tr class="current"> <td></td> <td></td> <td>76B70&nbsp;&nbsp;</td> <td>Stratification effects in inviscid fluids</td> </tr> <tr class="current"> <td></td> <td></td> <td>76B75&nbsp;&nbsp;</td> <td>Flow control and optimization for incompressible inviscid fluids [See also <a href="msc2020.html?t=49Q10&amp;btn=Current">49Q10</a>, <a href="msc2020.html?t=93C20&amp;btn=Current">93C20</a>, <a href="msc2020.html?t=93C95&amp;btn=Current">93C95</a>]</td> </tr> <tr class="current"> <td></td> <td></td> <td>76B99&nbsp;&nbsp;</td> <td>None of the above, but in this section</td> </tr> <tr class="current"> <td></td> <td></td> <td>76D03&nbsp;&nbsp;</td> <td>Existence, uniqueness, and regularity theory for incompressible viscous fluids [See also <a href="msc2020.html?t=35Q30&amp;btn=Current">35Q30</a>]</td> </tr> <tr class="current"> <td></td> <td></td> <td>76D05&nbsp;&nbsp;</td> <td>Navier-Stokes equations for incompressible viscous fluids [See also <a href="msc2020.html?t=35Q30&amp;btn=Current">35Q30</a>]</td> </tr> <tr class="current"> <td></td> <td></td> <td>76D06&nbsp;&nbsp;</td> <td>Statistical solutions of Navier-Stokes and related equations [See also <a href="msc2020.html?t=60H30&amp;btn=Current">60H30</a>, <a href="msc2020.html?t=76M35&amp;btn=Current">76M35</a>]</td> </tr> <tr class="current"> <td></td> <td></td> <td>76D07&nbsp;&nbsp;</td> <td>Stokes and related (Oseen, etc.) flows</td> </tr> <tr class="current"> <td></td> <td></td> <td>76D08&nbsp;&nbsp;</td> <td>Lubrication theory</td> </tr> <tr class="current"> <td></td> <td></td> <td>76D09&nbsp;&nbsp;</td> <td>Viscous-inviscid interaction</td> </tr> <tr class="current"> <td></td> <td></td> <td>76D10&nbsp;&nbsp;</td> <td>Boundary-layer theory, separation and reattachment, higher-order effects</td> </tr> <tr class="current"> <td></td> <td></td> <td>76D17&nbsp;&nbsp;</td> <td>Viscous vortex flows</td> </tr> <tr class="current"> <td></td> <td></td> <td>76D25&nbsp;&nbsp;</td> <td>Wakes and jets</td> </tr> <tr class="current"> <td></td> <td></td> <td>76D27&nbsp;&nbsp;</td> <td>Other free boundary flows; Hele-Shaw flows</td> </tr> <tr class="current"> <td></td> <td></td> <td>76D33&nbsp;&nbsp;</td> <td>Waves for incompressible viscous fluids</td> </tr> <tr class="current"> <td></td> <td></td> <td>76D45&nbsp;&nbsp;</td> <td>Capillarity (surface tension) for incompressible viscous fluids [See also <a href="msc2020.html?t=76B45&amp;btn=Current">76B45</a>]</td> </tr> <tr class="current"> <td></td> <td></td> <td>76D50&nbsp;&nbsp;</td> <td>Stratification effects in viscous fluids</td> </tr> <tr class="current"> <td></td> <td></td> <td>76D55&nbsp;&nbsp;</td> <td>Flow control and optimization for incompressible viscous fluids [See also <a href="msc2020.html?t=49Q10&amp;btn=Current">49Q10</a>, <a href="msc2020.html?t=93C20&amp;btn=Current">93C20</a>, <a href="msc2020.html?t=93C95&amp;btn=Current">93C95</a>]</td> </tr> <tr class="current"> <td></td> <td></td> <td>76D99&nbsp;&nbsp;</td> <td>None of the above, but in this section</td> </tr> <tr class="current"> <td></td> <td></td> <td>76E05&nbsp;&nbsp;</td> <td>Parallel shear flows in hydrodynamic stability</td> </tr> <tr class="current"> <td></td> <td></td> <td>76E06&nbsp;&nbsp;</td> <td>Convection in hydrodynamic stability</td> </tr> <tr class="current"> <td></td> <td></td> <td>76E07&nbsp;&nbsp;</td> <td>Rotation in hydrodynamic stability</td> </tr> <tr class="current"> <td></td> <td></td> <td>76E09&nbsp;&nbsp;</td> <td>Stability and instability of nonparallel flows in hydrodynamic stability</td> </tr> <tr class="current"> <td></td> <td></td> <td>76E15&nbsp;&nbsp;</td> <td>Absolute and convective instability and stability in hydrodynamic stability</td> </tr> <tr class="current"> <td></td> <td></td> <td>76E17&nbsp;&nbsp;</td> <td>Interfacial stability and instability in hydrodynamic stability</td> </tr> <tr class="current"> <td></td> <td></td> <td>76E19&nbsp;&nbsp;</td> <td>Compressibility effects in hydrodynamic stability</td> </tr> <tr class="current"> <td></td> <td></td> <td>76E20&nbsp;&nbsp;</td> <td>Stability and instability of geophysical and astrophysical flows</td> </tr> <tr class="current"> <td></td> <td></td> <td>76E25&nbsp;&nbsp;</td> <td>Stability and instability of magnetohydrodynamic and electrohydrodynamic flows</td> </tr> <tr class="current"> <td></td> <td></td> <td>76E30&nbsp;&nbsp;</td> <td>Nonlinear effects in hydrodynamic stability</td> </tr> <tr class="current"> <td></td> <td></td> <td>76E99&nbsp;&nbsp;</td> <td>None of the above, but in this section</td> </tr> <tr class="current"> <td></td> <td></td> <td>76F02&nbsp;&nbsp;</td> <td>Fundamentals of turbulence</td> </tr> <tr class="current"> <td></td> <td></td> <td>76F05&nbsp;&nbsp;</td> <td>Isotropic turbulence; homogeneous turbulence</td> </tr> <tr class="current"> <td></td> <td></td> <td>76F06&nbsp;&nbsp;</td> <td>Transition to turbulence</td> </tr> <tr class="current"> <td></td> <td></td> <td>76F10&nbsp;&nbsp;</td> <td>Shear flows and turbulence</td> </tr> <tr class="current"> <td></td> <td></td> <td>76F20&nbsp;&nbsp;</td> <td>Dynamical systems approach to turbulence [See also <a href="msc2020.html?t=37-XX&amp;btn=Current">37-XX</a>]</td> </tr> <tr class="current"> <td></td> <td></td> <td>76F25&nbsp;&nbsp;</td> <td>Turbulent transport, mixing</td> </tr> <tr class="current"> <td></td> <td></td> <td>76F30&nbsp;&nbsp;</td> <td>Renormalization and other field-theoretical methods for turbulence [See also <a href="msc2020.html?t=81T99&amp;btn=Current">81T99</a>]</td> </tr> <tr class="current"> <td></td> <td></td> <td>76F35&nbsp;&nbsp;</td> <td>Convective turbulence [See also <a href="msc2020.html?t=76E15&amp;btn=Current">76E15</a>, <a href="msc2020.html?t=76Rxx&amp;btn=Current">76Rxx</a>]</td> </tr> <tr class="current"> <td></td> <td></td> <td>76F40&nbsp;&nbsp;</td> <td>Turbulent boundary layers</td> </tr> <tr class="current"> <td></td> <td></td> <td>76F45&nbsp;&nbsp;</td> <td>Stratification effects in turbulence</td> </tr> <tr class="current"> <td></td> <td></td> <td>76F50&nbsp;&nbsp;</td> <td>Compressibility effects in turbulence</td> </tr> <tr class="current"> <td></td> <td></td> <td>76F55&nbsp;&nbsp;</td> <td>Statistical turbulence modeling [See also <a href="msc2020.html?t=76M35&amp;btn=Current">76M35</a>]</td> </tr> <tr class="current"> <td></td> <td></td> <td>76F60&nbsp;&nbsp;</td> <td><span class="MathTeX">$k$</span><script type="math/tex">k</script>-<span class="MathTeX">$\varepsilon$</span><script type="math/tex">\varepsilon</script> modeling in turbulence</td> </tr> <tr class="current"> <td></td> <td></td> <td>76F65&nbsp;&nbsp;</td> <td>Direct numerical and large eddy simulation of turbulence</td> </tr> <tr class="current"> <td></td> <td></td> <td>76F70&nbsp;&nbsp;</td> <td>Control of turbulent flows</td> </tr> <tr class="current"> <td></td> <td></td> <td>76F80&nbsp;&nbsp;</td> <td>Turbulent combustion; reactive turbulence</td> </tr> <tr class="current"> <td></td> <td></td> <td>76F99&nbsp;&nbsp;</td> <td>None of the above, but in this section</td> </tr> <tr class="current"> <td></td> <td></td> <td>76G25&nbsp;&nbsp;</td> <td>General aerodynamics and subsonic flows</td> </tr> <tr class="current"> <td></td> <td></td> <td>76G99&nbsp;&nbsp;</td> <td>None of the above, but in this section</td> </tr> <tr class="current"> <td></td> <td></td> <td>76H05&nbsp;&nbsp;</td> <td>Transonic flows</td> </tr> <tr class="current"> <td></td> <td></td> <td>76H99&nbsp;&nbsp;</td> <td>None of the above, but in this section</td> </tr> <tr class="current"> <td></td> <td></td> <td>76J20&nbsp;&nbsp;</td> <td>Supersonic flows</td> </tr> <tr class="current"> <td></td> <td></td> <td>76J99&nbsp;&nbsp;</td> <td>None of the above, but in this section</td> </tr> <tr class="current"> <td></td> <td></td> <td>76K05&nbsp;&nbsp;</td> <td>Hypersonic flows</td> </tr> <tr class="current"> <td></td> <td></td> <td>76K99&nbsp;&nbsp;</td> <td>None of the above, but in this section</td> </tr> <tr class="current"> <td></td> <td></td> <td>76L05&nbsp;&nbsp;</td> <td>Shock waves and blast waves in fluid mechanics [See also <a href="msc2020.html?t=35L67&amp;btn=Current">35L67</a>]</td> </tr> <tr class="current"> <td></td> <td></td> <td>76L99&nbsp;&nbsp;</td> <td>None of the above, but in this section</td> </tr> <tr class="current"> <td></td> <td></td> <td>76M10&nbsp;&nbsp;</td> <td>Finite element methods applied to problems in fluid mechanics</td> </tr> <tr class="current"> <td></td> <td></td> <td>76M12&nbsp;&nbsp;</td> <td>Finite volume methods applied to problems in fluid mechanics</td> </tr> <tr class="current"> <td></td> <td></td> <td>76M15&nbsp;&nbsp;</td> <td>Boundary element methods applied to problems in fluid mechanics</td> </tr> <tr class="current"> <td></td> <td></td> <td>76M20&nbsp;&nbsp;</td> <td>Finite difference methods applied to problems in fluid mechanics</td> </tr> <tr class="current"> <td></td> <td></td> <td>76M21&nbsp;&nbsp;</td> <td>Inverse problems in fluid mechanics</td> </tr> <tr class="current"> <td></td> <td></td> <td>76M22&nbsp;&nbsp;</td> <td>Spectral methods applied to problems in fluid mechanics</td> </tr> <tr class="current"> <td></td> <td></td> <td>76M23&nbsp;&nbsp;</td> <td>Vortex methods applied to problems in fluid mechanics</td> </tr> <tr class="current"> <td></td> <td></td> <td>76M27&nbsp;&nbsp;</td> <td>Visualization algorithms applied to problems in fluid mechanics</td> </tr> <tr class="current"> <td></td> <td></td> <td>76M28&nbsp;&nbsp;</td> <td>Particle methods and lattice-gas methods</td> </tr> <tr class="current"> <td></td> <td></td> <td>76M30&nbsp;&nbsp;</td> <td>Variational methods applied to problems in fluid mechanics</td> </tr> <tr class="current"> <td></td> <td></td> <td>76M35&nbsp;&nbsp;</td> <td>Stochastic analysis applied to problems in fluid mechanics</td> </tr> <tr class="current"> <td></td> <td></td> <td>76M40&nbsp;&nbsp;</td> <td>Complex variables methods applied to problems in fluid mechanics</td> </tr> <tr class="current"> <td></td> <td></td> <td>76M45&nbsp;&nbsp;</td> <td>Asymptotic methods, singular perturbations applied to problems in fluid mechanics</td> </tr> <tr class="current"> <td></td> <td></td> <td>76M50&nbsp;&nbsp;</td> <td>Homogenization applied to problems in fluid mechanics</td> </tr> <tr class="current"> <td></td> <td></td> <td>76M55&nbsp;&nbsp;</td> <td>Dimensional analysis and similarity applied to problems in fluid mechanics</td> </tr> <tr class="current"> <td></td> <td></td> <td>76M60&nbsp;&nbsp;</td> <td>Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics</td> </tr> <tr class="current"> <td></td> <td></td> <td>76M99&nbsp;&nbsp;</td> <td>None of the above, but in this section</td> </tr> <tr class="current"> <td></td> <td></td> <td>76N06&nbsp;&nbsp;</td> <td>Compressible Navier-Stokes equations</td> </tr> <tr class="current"> <td></td> <td></td> <td>76N10&nbsp;&nbsp;</td> <td>Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics [See also <a href="msc2020.html?t=35L60&amp;btn=Current">35L60</a>, <a href="msc2020.html?t=35L65&amp;btn=Current">35L65</a>, <a href="msc2020.html?t=35Q30&amp;btn=Current">35Q30</a>]</td> </tr> <tr class="current"> <td></td> <td></td> <td>76N15&nbsp;&nbsp;</td> <td>Gas dynamics (general theory)</td> </tr> <tr class="current"> <td></td> <td></td> <td>76N17&nbsp;&nbsp;</td> <td>Viscous-inviscid interaction for compressible fluids and gas dynamics</td> </tr> <tr class="current"> <td></td> <td></td> <td>76N20&nbsp;&nbsp;</td> <td>Boundary-layer theory for compressible fluids and gas dynamics</td> </tr> <tr class="current"> <td></td> <td></td> <td>76N25&nbsp;&nbsp;</td> <td>Flow control and optimization for compressible fluids and gas dynamics</td> </tr> <tr class="current"> <td></td> <td></td> <td>76N30&nbsp;&nbsp;</td> <td>Waves in compressible fluids</td> </tr> <tr class="current"> <td></td> <td></td> <td>76N99&nbsp;&nbsp;</td> <td>None of the above, but in this section</td> </tr> <tr class="current"> <td></td> <td></td> <td>76P05&nbsp;&nbsp;</td> <td>Rarefied gas flows, Boltzmann equation in fluid mechanics [See also <a href="msc2020.html?t=82B40&amp;btn=Current">82B40</a>, <a href="msc2020.html?t=82C40&amp;btn=Current">82C40</a>, <a href="msc2020.html?t=82D05&amp;btn=Current">82D05</a>]</td> </tr> <tr class="current"> <td></td> <td></td> <td>76P99&nbsp;&nbsp;</td> <td>None of the above, but in this section</td> </tr> <tr class="current"> <td></td> <td></td> <td>76Q05&nbsp;&nbsp;</td> <td>Hydro- and aero-acoustics</td> </tr> <tr class="current"> <td></td> <td></td> <td>76Q99&nbsp;&nbsp;</td> <td>None of the above, but in this section</td> </tr> <tr class="current"> <td></td> <td></td> <td>76R05&nbsp;&nbsp;</td> <td>Forced convection</td> </tr> <tr class="current"> <td></td> <td></td> <td>76R10&nbsp;&nbsp;</td> <td>Free convection</td> </tr> <tr class="current"> <td></td> <td></td> <td>76R50&nbsp;&nbsp;</td> <td>Diffusion [See also <a href="msc2020.html?t=60J60&amp;btn=Current">60J60</a>]</td> </tr> <tr class="current"> <td></td> <td></td> <td>76R99&nbsp;&nbsp;</td> <td>None of the above, but in this section</td> </tr> <tr class="current"> <td></td> <td></td> <td>76S05&nbsp;&nbsp;</td> <td>Flows in porous media; filtration; seepage</td> </tr> <tr class="current"> <td></td> <td></td> <td>76S99&nbsp;&nbsp;</td> <td>None of the above, but in this section</td> </tr> <tr class="current"> <td></td> <td></td> <td>76T06&nbsp;&nbsp;</td> <td>Liquid-liquid two component flows</td> </tr> <tr class="current"> <td></td> <td></td> <td>76T10&nbsp;&nbsp;</td> <td>Liquid-gas two-phase flows, bubbly flows</td> </tr> <tr class="current"> <td></td> <td></td> <td>76T15&nbsp;&nbsp;</td> <td>Dusty-gas two-phase flows</td> </tr> <tr class="current"> <td></td> <td></td> <td>76T17&nbsp;&nbsp;</td> <td>Two gas multicomponent flows</td> </tr> <tr class="current"> <td></td> <td></td> <td>76T20&nbsp;&nbsp;</td> <td>Suspensions</td> </tr> <tr class="current"> <td></td> <td></td> <td>76T25&nbsp;&nbsp;</td> <td>Granular flows [See also <a href="msc2020.html?t=74C99&amp;btn=Current">74C99</a>, <a href="msc2020.html?t=74E20&amp;btn=Current">74E20</a>]</td> </tr> <tr class="current"> <td></td> <td></td> <td>76T30&nbsp;&nbsp;</td> <td>Three or more component flows</td> </tr> <tr class="current"> <td></td> <td></td> <td>76T99&nbsp;&nbsp;</td> <td>None of the above, but in this section</td> </tr> <tr class="current"> <td></td> <td></td> <td>76U05&nbsp;&nbsp;</td> <td>General theory of rotating fluids</td> </tr> <tr class="current"> <td></td> <td></td> <td>76U60&nbsp;&nbsp;</td> <td>Geophysical flows [See also <a href="msc2020.html?t=86A05&amp;btn=Current">86A05</a>, <a href="msc2020.html?t=86A10&amp;btn=Current">86A10</a>]</td> </tr> <tr class="current"> <td></td> <td></td> <td>76U65&nbsp;&nbsp;</td> <td>Rossby waves [See also <a href="msc2020.html?t=86A05&amp;btn=Current">86A05</a>, <a href="msc2020.html?t=86A10&amp;btn=Current">86A10</a>]</td> </tr> <tr class="current"> <td></td> <td></td> <td>76U99&nbsp;&nbsp;</td> <td>None of the above, but in this section</td> </tr> <tr class="current"> <td></td> <td></td> <td>76V05&nbsp;&nbsp;</td> <td>Reaction effects in flows [See also <a href="msc2020.html?t=80A32&amp;btn=Current">80A32</a>]</td> </tr> <tr class="current"> <td></td> <td></td> <td>76V99&nbsp;&nbsp;</td> <td>None of the above, but in this section</td> </tr> <tr class="current"> <td></td> <td></td> <td>76W05&nbsp;&nbsp;</td> <td>Magnetohydrodynamics and electrohydrodynamics</td> </tr> <tr class="current"> <td></td> <td></td> <td>76W99&nbsp;&nbsp;</td> <td>None of the above, but in this section</td> </tr> <tr class="current"> <td></td> <td></td> <td>76X05&nbsp;&nbsp;</td> <td>Ionized gas flow in electromagnetic fields; plasmic flow [See also <a href="msc2020.html?t=82D10&amp;btn=Current">82D10</a>]</td> </tr> <tr class="current"> <td></td> <td></td> <td>76X99&nbsp;&nbsp;</td> <td>None of the above, but in this section</td> </tr> <tr class="current"> <td></td> <td></td> <td>76Y05&nbsp;&nbsp;</td> <td>Quantum hydrodynamics and relativistic hydrodynamics [See also <a href="msc2020.html?t=82D50&amp;btn=Current">82D50</a>, <a href="msc2020.html?t=83C55&amp;btn=Current">83C55</a>, <a href="msc2020.html?t=85A30&amp;btn=Current">85A30</a>]</td> </tr> <tr class="current"> <td></td> <td></td> <td>76Y99&nbsp;&nbsp;</td> <td>None of the above, but in this section</td> </tr> <tr class="current"> <td></td> <td></td> <td>76Z05&nbsp;&nbsp;</td> <td>Physiological flows [See also <a href="msc2020.html?t=92C35&amp;btn=Current">92C35</a>]</td> </tr> <tr class="current"> <td></td> <td></td> <td>76Z10&nbsp;&nbsp;</td> <td>Biopropulsion in water and in air</td> </tr> <tr class="current"> <td></td> <td></td> <td>76Z99&nbsp;&nbsp;</td> <td>None of the above, but in this section</td> </tr> </table> <div class="buttonBox"> <input type="submit" name="btn" value="Clear" class="button" /> </div> <span class="legend"> &lt; <a href="msc2020.html?t=74-XX&amp;btn=Current">74-XX</a> | <a href="msc2020.html?t=&amp;btn=Current">Up</a> | <a href="msc2020.html?t=78-XX&amp;btn=Current">78-XX</a> &gt; </span> </div> </form> </div> <div class="folderFooter"><div class="left">&nbsp;</div><div class="right">&nbsp;</div></div> </div> </div> </div> <div class="copyright"> <a href="http://www.ams.org/ams/copyright.html">&copy; Copyright 2024, American Mathematical Society</a><br /> <a href="http://www.ams.org/ams/privacy.html">Privacy Statement</a> </div> <div class="amsAddress"> <a href="http://www.ams.org"><img src="/mathscinet/2006/mathscinet/images/ams-logo-msn-footer.jpg" 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