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dc.contributor.authorHaspot, Boris
dc.date.accessioned2011-09-22T14:42:19Z
dc.date.available2011-09-22T14:42:19Z
dc.date.issued2010
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/6991
dc.language.isoenen
dc.subjectshallow-water systemen
dc.subjectviscosityen
dc.subjectNavier–Stokes equationsen
dc.subjectCauchy problemen
dc.subject.ddc515en
dc.titleCauchy problem for viscous shallow water equations with a term of capillarityen
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenIn this article , we consider the compressible Navier-Stokes equation with density dependent viscosity coefficients and a term of capillarity introduced formally by Van der Waals in [44]. This model includes at the same time the barotropic Navier-Stokes equations with variable viscosity coefficients, shallow-water system and the model introduced by Rohde in [39]. We first study the well-posedness of the model in critical regularity spaces with respect to the scaling of the associated equations. In a functional setting as close as possible to the physical energy spaces, we prove global existence of solutions close to a stable equilibrium, and local in time existence of solutions with general initial data. Uniqueness is also obtained.en
dc.relation.isversionofjnlnameMathematical Models and Methods in Applied Sciences
dc.relation.isversionofjnlvol20
dc.relation.isversionofjnlissue7
dc.relation.isversionofjnldate2010
dc.relation.isversionofjnlpages1049
dc.relation.isversionofdoihttp://dx.doi.org/10.1142/S0218202510004532
dc.description.sponsorshipprivateouien
dc.relation.isversionofjnlpublisherWorld Scientificen
dc.subject.ddclabelAnalyseen


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