Document Zbl 1547.35173

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Math.</a> <a href="/?q=in%3A507627" title="Articles in this Issue">57, Article ID 20240002, 8 p. (2024)</a>. </div> <div class="abstract">Summary: Global in time weak solution to a regularized periodic three-dimensional Boussinesq system is proved to exist in energy spaces. This solution depends continuously on the initial data. In particular, it is unique. The main novelty is the global in time aspect of this solution. The proofs use the coupling between the temperature and the velocity of the fluid, energy methods, and compactness argument.</div> <div class="clear"></div> <div class="classification"> <h3>MSC:</h3> <table><tr> <td> <a class="mono" href="/classification/?q=cc%3A35D30" title="MSC2020">35D30</a> </td> <td class="space"> Weak solutions to PDEs </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A35B10" title="MSC2020">35B10</a> </td> <td class="space"> Periodic solutions to PDEs </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A35B45" title="MSC2020">35B45</a> </td> <td class="space"> A priori estimates in context of PDEs </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A35Q35" title="MSC2020">35Q35</a> </td> <td class="space"> PDEs in connection with fluid mechanics </td> </tr></table> </div><div class="keywords"> <h3>Keywords:</h3><a href="/?q=ut%3Athree-dimensional+Boussinesq+system">three-dimensional Boussinesq system</a>; <a href="/?q=ut%3Aglobal+in+time+weak+solution">global in time weak solution</a>; <a href="/?q=ut%3Aexistence">existence</a>; <a href="/?q=ut%3Aregularization">regularization</a>; <a href="/?q=ut%3Auniqueness">uniqueness</a>; <a href="/?q=ut%3Aperiodic+boundary+conditions">periodic boundary conditions</a></div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1547.35173" data-ciurl="/ci/07899051" data-biburl="/bibtex/07899051.bib" data-amsurl="/amsrefs/07899051.bib" data-xmlurl="/xml/07899051.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07899051.pdf" title="Zbl 1547.35173 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1515/dema-2024-0002" aria-label="DOI for “Global in time well-posedness of a three-dimensional periodic regularized Boussinesq system”" title="10.1515/dema-2024-0002">DOI</a> </div> <div class="sfx" style="float: right;"> <a href="https://creativecommons.org/licenses/by/4.0/" target="_blank" title="Open Access License" class="cc-license-link no-new-tab-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/cc.svg" alt="Creative Commons CC license icon" class="cc-license-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/by.svg" alt="Creative Commons BY license icon" class="cc-license-icon"> </a> </div> </div> <div class="references"> <h3>References:</h3> <table><tr> <td>[1]</td> <td class="space">E. 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