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New effective pressure and existence of global strong solution for compressible Navier-Stokes equations with general viscosity coefficient in one dimension

dc.contributor.authorBurtea, Cosmin
dc.contributor.authorHaspot, Boris
dc.date.accessioned2020-04-22T12:47:11Z
dc.date.available2020-04-22T12:47:11Z
dc.date.issued2020
dc.identifier.issn0951-7715
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/20649
dc.language.isoenen
dc.subjectPDe
dc.subjectÉquation aux dérivées partielles
dc.subjectNavier-Stokes equations
dc.subject.ddc519en
dc.titleNew effective pressure and existence of global strong solution for compressible Navier-Stokes equations with general viscosity coefficient in one dimension
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenIn this paper we prove the existence of global strong solution for the Navier-Stokes equations with general degenerate viscosity coefficients. The cornerstone of the proof is the introduction of a new effective pressure which allows to obtain an Oleinik-type estimate for the so called effective velocity. In our proof we make use of additional regularizing effects on the velocity which requires to extend the technics developed by Hoff for the constant viscosity case.
dc.relation.isversionofjnlnameNonlinearity
dc.relation.isversionofjnlvol33
dc.relation.isversionofjnlissue5
dc.relation.isversionofjnldate2020
dc.relation.isversionofdoi10.1088/1361-6544/ab7102
dc.relation.isversionofjnlpublisherIOP Science
dc.subject.ddclabelProbabilités et mathématiques appliquéesen
dc.relation.forthcomingnonen
dc.relation.forthcomingprintnonen
dc.description.ssrncandidatenon
dc.description.halcandidatenon
dc.description.readershiprecherche
dc.description.audienceInternational
dc.relation.Isversionofjnlpeerreviewedoui
dc.date.updated2020-06-12T12:09:33Z


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