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dc.contributor.authorLions, Pierre-Louis
dc.contributor.authorPerthame, Benoît
dc.contributor.authorTadmor, E.
dc.date.accessioned2015-01-22T09:12:48Z
dc.date.available2015-01-22T09:12:48Z
dc.date.issued1994
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/14591
dc.language.isoenen
dc.subjectp-systemen
dc.subject.ddc519en
dc.titleKinetic formulation of the isentropic gas dynamics and p-systemsen
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenWe consider the 2×2 hyperbolic system of isentropic gas dynamics, in both Eulerian or Lagrangian variables (also called thep-system). We show that they can be reformulated as a kinetic equation, using an additional kinetic variable. Such a formulation was first obtained by the authors in the case of multidimensional scalar conservation laws. A new phenomenon occurs here, namely that the advection velocity is now a combination of the macroscopic and kinetic velocities. Various applications are given: we recover the invariant regions, deduce new L ∞ estimates using moments lemma and proveL ∞−w* stability for γ≥3.en
dc.relation.isversionofjnlnameCommunications in Mathematical Physics
dc.relation.isversionofjnlvol163en
dc.relation.isversionofjnlissue2en
dc.relation.isversionofjnldate1994
dc.relation.isversionofjnlpages415-431en
dc.relation.isversionofdoihttp://dx.doi.org/10.1007/BF02102014en
dc.relation.isversionofjnlpublisherSpringeren
dc.subject.ddclabelProbabilités et mathématiques appliquéesen
dc.relation.forthcomingnonen
dc.relation.forthcomingprintnonen


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