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dc.contributor.authorLions, Pierre-Louis
dc.contributor.authorPerthame, Benoît
HAL ID: 739446
ORCID: 0000-0002-7091-1200
dc.contributor.authorSouganidis, Panagiotis E.
dc.date.accessioned2011-05-09T14:14:19Z
dc.date.available2011-05-09T14:14:19Z
dc.date.issued1996
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/6233
dc.language.isoenen
dc.subjectisentropic gas dynamicsen
dc.subjectentropyen
dc.subjecthyperbolic systems of conservation lawsen
dc.subject.ddc515en
dc.titleExistence and stability of entropy solutions for the hyperbolic systems of isentropic gas dynamics in Eulerian and Lagrangian coordinatesen
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenWe prove the existence and compactness (stability) of entropy solutions for the hyperbolic systems of conservation laws corresponding to the isentropic gas dynamics, where the pressure and density are related by a γ-law, for any γ > 1. Our results considerably extend and simplify the program initiated by DiPerna and provide a complete existence proof. Our methods are based on the compensated compactness and the kinetic formulation of systems of conservation laws.en
dc.relation.isversionofjnlnameCommunications on Pure and Applied Mathematics
dc.relation.isversionofjnlvol49en
dc.relation.isversionofjnlissue6en
dc.relation.isversionofjnldate1996
dc.relation.isversionofjnlpages599-638en
dc.relation.isversionofdoihttp://dx.doi.org/10.1002/(SICI)1097-0312(199606)49:6<599::AID-CPA2>3.0.CO;2-5en
dc.description.sponsorshipprivateouien
dc.relation.isversionofjnlpublisherWileyen
dc.subject.ddclabelAnalyseen


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