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Existence of Global Weak Solution for Compressible Fluid Models of Korteweg Type

dc.contributor.authorHaspot, Boris
dc.date.accessioned2011-09-22T14:42:40Z
dc.date.available2011-09-22T14:42:40Z
dc.date.issued2011
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/6992
dc.language.isoenen
dc.subjectcompactness and concentrationen
dc.subjectgain of derivabilityen
dc.subjectWeak solutionsen
dc.subject.ddc515en
dc.titleExistence of Global Weak Solution for Compressible Fluid Models of Korteweg Typeen
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenThis work is devoted to proving existence of global weak solutions for a general isothermal model of capillary fluids derived by Dunn and Serrin (Arch Rational Mech Anal 88(2):95–133, 1985) which can be used as a phase transition model. We improve the results of Danchin and Desjardins (Annales de l’IHP, Analyse non linéaire 18:97–133, 2001) by showing the existence of global weak solution in dimension two for initial data in the energy space, close to a stable equilibrium and with specific choices on the capillary coefficients. In particular we are interested in capillary coefficients approximating a constant capillarity coefficient κ. To finish we show the existence of global weak solution in dimension one for a specific type of capillary coefficients with large initial data in the energy space.en
dc.relation.isversionofjnlnameJournal of Mathematical Fluid Mechanics
dc.relation.isversionofjnlvol13en
dc.relation.isversionofjnlissue2en
dc.relation.isversionofjnldate2011
dc.relation.isversionofjnlpages223-249en
dc.relation.isversionofdoihttp://dx.doi.org/10.1007/s00021-009-0013-2en
dc.identifier.urlsitehttp://arxiv.org/abs/0902.0965v1
dc.description.sponsorshipprivateouien
dc.relation.isversionofjnlpublisherSpringeren
dc.subject.ddclabelAnalyseen


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