Contraction property for large perturbations of shocks of the barotropic Navier-Stokes system

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dc.contributor.authorKang, Moon-Jinko
dc.contributor.authorVasseur, Alexis F.ko
dc.date.accessioned2021-03-23T01:30:22Z-
dc.date.available2021-03-23T01:30:22Z-
dc.date.created2021-03-22-
dc.date.created2021-03-22-
dc.date.created2021-03-22-
dc.date.issued2021-03-
dc.identifier.citationJOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, v.23, no.2, pp.585 - 638-
dc.identifier.issn1435-9855-
dc.identifier.urihttp://hdl.handle.net/10203/281773-
dc.description.abstractThis paper is dedicated to the construction of a pseudo-norm for which small shock profiles of the barotropic Navier-Stokes equations have a contraction property. This contraction property holds in the class of any large solutions to the barotropic Navier-Stokes equations. It implies a stability condition which is independent of the strength of the viscosity. The proof is based on the relative entropy method, and is related to the notion of a-contraction first introduced by the authors in the hyperbolic case.-
dc.languageEnglish-
dc.publisherEUROPEAN MATHEMATICAL SOC-
dc.titleContraction property for large perturbations of shocks of the barotropic Navier-Stokes system-
dc.typeArticle-
dc.identifier.wosid000615286800006-
dc.identifier.scopusid2-s2.0-85099957100-
dc.type.rimsART-
dc.citation.volume23-
dc.citation.issue2-
dc.citation.beginningpage585-
dc.citation.endingpage638-
dc.citation.publicationnameJOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY-
dc.identifier.doi10.4171/JEMS/1018-
dc.contributor.localauthorKang, Moon-Jin-
dc.contributor.nonIdAuthorVasseur, Alexis F.-
dc.description.isOpenAccessN-
dc.type.journalArticleArticle-
dc.subject.keywordAuthorContraction-
dc.subject.keywordAuthorshock-
dc.subject.keywordAuthorcompressible Navier-Stokes-
dc.subject.keywordAuthorstability-
dc.subject.keywordAuthorrelative entropy-
dc.subject.keywordAuthorconservation law-
dc.subject.keywordPlusRELATIVE ENTROPY METHOD-
dc.subject.keywordPlusINVISCID LIMIT-
dc.subject.keywordPlusSTABILITY-
dc.subject.keywordPlusEQUATIONS-
dc.subject.keywordPlusUNIQUENESS-
dc.subject.keywordPlusEXISTENCE-
dc.subject.keywordPlusWAVES-
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