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Self-Similar Solutions of Three-Dimensional Navier-Stokes Equation
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In this article we will present pure three dimensional analytic solutions for the Navier-Stokes and the continuity equations in Cartesian coordinates. The key idea is the three-dimensional generalization of the well-known self-similar Ansatz of Barenblatt. A geometrical interpretation of the Ansatz is given also. The results are the Kummer functions or strongly related. Our final formula is compared with other results obtained from group theoretical approaches.
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imre laci (Barna Imre Ferenc (KFAE admin); 2012.02.21. 13:15:57)
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<div class="JournalArticle Publication short-list"> <div class="authors"> <span class="author-name" mtid="10012050"> <a href="/gui2/?type=authors&mode=browse&sel=10012050" target="_blank">Barna, IF</a> </span> <span class="author-type"> </span> </div ><div class="title"><a href="/gui2/?mode=browse¶ms=publication;1868217" mtid="1868217" target="_blank">Self-Similar Solutions of Three-Dimensional Navier-Stokes Equation<span class="subTitle">: https://m2.mtmt.hu/frontend/resources/images/open.png</span></a></div> <div class="pub-info"> <span class="journal-title">COMMUNICATIONS IN THEORETICAL PHYSICS</span> <span class="journal-volume">56</span> : <span class="journal-issue">4</span> <span class="page"> pp. 745-750. , 6 p. </span> <span class="year">(2011)</span> </div> <div class="pub-end"><div class="identifier-list"> <span class="identifiers"> <span class="id identifier oa_none" title="none"> <a style="color:blue" title="10.1088/0253-6102/56/4/25" target="_blank" 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class="status-holder"><span class="status-data status-APPROVED"> Nyilvános </span></span> <span class="pub-core">Forrás Idéző </span> <span class="pub-type">Folyóiratcikk (Szakcikk ) </span> <!-- && !record.category.scientific --> <span class="pub-category">Tudományos</span> <div class="publication-citation" style="margin-left: 0.5cm;"> <span title="Nyilvános idézőközlemények összesen, említések nélkül" class="citingPub-count">Nyilvános idéző összesen: 26</span> | Független: 8 | Függő: 18 | Nem jelölt: 0 | WoS jelölt: 21 | Scopus jelölt: 25 | WoS/Scopus jelölt: 26 | DOI jelölt: 22 </div> </div> </div> </div><div class="JournalArticle Publication long-list"> <div class="authors"> <img title="Forrásközlemény" style="float: left" src="/frontend/resources/grid/publication-core-icon.png"> <img title="Idézőközlemény" style="float: left" src="/frontend/resources/grid/publication-citation-icon.png"> <div class="autype autype0"> <span class="author-name" mtid="10012050"><a href="/gui2/?type=authors&mode=browse&sel=10012050" target="_blank">Barna IF (<span class="authorship-author-name">Barna Imre Ferenc</span> <span class="authorAux-mtmt"> Áramlástani egyenletek analitikus vizsgálat, lé...</span>) </a> </span> <span class="author-affil">MTA KFKI Atomenergia Kutató Intézet</span> </div> </div> <div class="title"><a href="/gui2/?mode=browse¶ms=publication;1868217" target="_blank">Self-Similar Solutions of Three-Dimensional Navier-Stokes Equation : https://m2.mtmt.hu/frontend/resources/images/open.png.</a></div> <div> <span class="journal-title">COMMUNICATIONS IN THEORETICAL PHYSICS</span> <span class="journal-issn">(<a target="_blank" href="https://portal.issn.org/resource/ISSN/0253-6102">0253-6102</a> <a target="_blank" href="https://portal.issn.org/resource/ISSN/1572-9494">1572-9494</a>)</span>: <span class="journal-volume">56</span> <span class="journal-issue">4</span> <span class="page"> pp 745-750 </span> <span class="year">(2011)</span> </div> <div class="pub-footer"> <span class="language" xmlns="http://www.w3.org/1999/html">Nyelv: Angol | </span> <span class="identifiers"> <span class="id identifier oa_none" title="none"> <a style="color:blue" title="10.1088/0253-6102/56/4/25" target="_blank" href="https://doi.org/10.1088/0253-6102/56/4/25"> DOI </a> </span> <span class="id identifier oa_none" title="none"> <a style="color:blue" title="000296280100025" target="_blank" href="https://www.webofscience.com/wos/woscc/full-record/000296280100025"> WoS </a> </span> <span class="id identifier oa_none" title="none"> <a style="color:blue" title="80054795432" target="_blank" href="http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-80054795432"> Scopus </a> </span> <span class="id identifier oa_GREEN" title=" Green "> <a style="color:black" title="1102.5504" target="_blank" href="http://arxiv.org/abs/1102.5504"> arXiv </a> </span> <span class="id identifier oa_none" title="none"> <a style="color:black" title="2044915595382585589" target="_blank" href="http://scholar.Google.com/scholar?hl=en&lr=&cluster=2044915595382585589"> Google scholar </a> </span> </span> <div class="publication-citation" style="margin-left: 0.5cm;"> <span title="Nyilvános idézőközlemények összesen, említések nélkül" class="citingPub-count">Nyilvános idéző összesen: 26</span> | Független: 8 | Függő: 18 | Nem jelölt: 0 | WoS jelölt: 21 | Scopus jelölt: 25 | WoS/Scopus jelölt: 26 | DOI jelölt: 22 </div> <div class="publication-citation"> <a target="_blank" href="/api/publication?cond=citations.related;eq;1868217&sort=publishedYear,desc&sort=title"> Idézett közlemények száma: 2 </a> </div> <div class="mtid"><span class="long-pub-mtid">Közlemény: 1868217</span> | <span class="status-data status-APPROVED"> Nyilvános </span> <span class="oldId">Régi azonosító: 1868217</span> | Forrás Idéző | <span class="type-subtype">Folyóiratcikk ( Szakcikk ) </span> | <span class="pub-category">Tudományos</span> | <span class="publication-sourceOfData">WOS</span> </div> <div class="lastModified">Utolsó módosítás: 2023.04.26. 12:35 Verle Ilona (Wigner admin4) </div> </div></div>