Title: On PDE analysis of flows of quasi-incompressible fluids
Abstract: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und MechanikVolume 96, Issue 4 p. 491-508 Original Paper On PDE analysis of flows of quasi-incompressible fluids Eduard Feireisl, Corresponding Author Eduard Feireisl Charles University in Prague, Faculty of Mathematics and Physics, Mathematical Institute, Sokolovská 83, 186 75 Praha 8, Czech RepublicCorresponding author E-mail: [email protected]Search for more papers by this authorYong Lu, Yong Lu Charles University in Prague, Faculty of Mathematics and Physics, Mathematical Institute, Sokolovská 83, 186 75 Praha 8, Czech Republic E-mail: [email protected]Search for more papers by this authorJosef Málek, Josef Málek Charles University in Prague, Faculty of Mathematics and Physics, Mathematical Institute, Sokolovská 83, 186 75 Praha 8, Czech Republic E-mail: [email protected]Search for more papers by this author Eduard Feireisl, Corresponding Author Eduard Feireisl Charles University in Prague, Faculty of Mathematics and Physics, Mathematical Institute, Sokolovská 83, 186 75 Praha 8, Czech RepublicCorresponding author E-mail: [email protected]Search for more papers by this authorYong Lu, Yong Lu Charles University in Prague, Faculty of Mathematics and Physics, Mathematical Institute, Sokolovská 83, 186 75 Praha 8, Czech Republic E-mail: [email protected]Search for more papers by this authorJosef Málek, Josef Málek Charles University in Prague, Faculty of Mathematics and Physics, Mathematical Institute, Sokolovská 83, 186 75 Praha 8, Czech Republic E-mail: [email protected]Search for more papers by this author First published: 11 April 2015 https://doi.org/10.1002/zamm.201400229Citations: 16 AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Abstract We study mathematical properties of quasi-incompressible fluids. These are mixtures in which the density depends on the concentration of one of their components. Assuming that the mixture meets mass and volume additivity constraints, this density-concentration relationship is given explicitly. We show that such a constrained mixture can be written in the form similar to compressible Navier-Stokes equations with a singular relation between the pressure and the density. This feature automatically leads to the density bounded from below and above. After addressing the choice of thermodynamically compatible boundary conditions, we establish the large data existence of weak solution to the relevant initial and boundary value problem. We then investigate one possible limit from the quasi-compressible regime to the incompressible regime. Citing Literature Volume96, Issue4April 2016Pages 491-508 RelatedInformation
Publication Year: 2015
Publication Date: 2015-04-11
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 24
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