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A regularizing effect of radiation in the equations of fluid dynamics

2004; Wiley; Volume: 28; Issue: 6 Linguagem: Inglês

10.1002/mma.586

1099-1476

Bernard Ducomet, Eduard Feireisl,

Nonlinear Partial Differential Equations

Mathematical Methods in the Applied SciencesVolume 28, Issue 6 p. 661-685 Research Article A regularizing effect of radiation in the equations of fluid dynamics Bernard Ducomet, Bernard Ducomet Département de physique théorique et appliquée, CEA, B.P.12, Bruyères-le-Châtel, FranceSearch for more papers by this authorEduard Feireisl, Corresponding Author Eduard Feireisl [email protected] Mathematical Institute AS CR, Žitná 25, 115 67 Praha 1, Czech RepublicMathematical Institute AS CR, Žitná 25, 115 67 Praha 1, Czech Republic===Search for more papers by this author Bernard Ducomet, Bernard Ducomet Département de physique théorique et appliquée, CEA, B.P.12, Bruyères-le-Châtel, FranceSearch for more papers by this authorEduard Feireisl, Corresponding Author Eduard Feireisl [email protected] Mathematical Institute AS CR, Žitná 25, 115 67 Praha 1, Czech RepublicMathematical Institute AS CR, Žitná 25, 115 67 Praha 1, Czech Republic===Search for more papers by this author First published: 05 November 2004 https://doi.org/10.1002/mma.586Citations: 25AboutPDF 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 Share a linkShare onEmailFacebookTwitterLinkedInRedditWechat Abstract We investigate the properties of a class of variational solutions to the equations of fluid dynamics when radiation effects are taken into account. The main aim is to prove weak sequential stability of the solution set under certain hypotheses imposed on the pressure, viscosity, and heat conductivity. Copyright © 2004 John Wiley & Sons, Ltd. REFERENCES 1 Gallavotti G. Foundations of Fluid Dynamics. Springer-Verlag: New York, 2002. 2 Leray J. Sur le mouvement d'un liquide visqueux emplissant l'espace. Acta Mathematica 1934; 63: 193–248. 3 Antontsev SN, Kazhikhov AV, Monakhov VN. Krajevyje zadaci mechaniki neodnorodnych zidkostej. Novosibirsk, 1983. 4 Hoff D. Discontinuous solutions of the Navier-Stokes equations for multidimensional flows of heat conducting fluids. Archive for Rational Mechanics and Analysis 1997; 139: 303–354. 5 Matsumura A, Nishida T. 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