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On the regularity of the pressure field of relaxed solutions to Euler equations with variable density

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dc.contributor.authorPrecioso, Juliana Conceição [UNESP]
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2014-05-27T11:30:53Z
dc.date.available2014-05-27T11:30:53Z
dc.date.issued2014-01-01
dc.description.abstractIn this paper we improve the regularity in time of the gradient of the pressure field in the solution of relaxed version of variational formulation proposed by V. I. Arnold and by Y. Brenier, for the incompressible Euler equations with variable density. We obtain that the pressure field is not only a measure, but a function in Lloc2((0,T);BVloc(D)) as an extension of the work of Ambrosio and Figalli (2008) in [1] to the variable density case. © 2013 Elsevier Ltd.en
dc.description.affiliationDepartamento de Matemática Universidade Estadual Paulista, 15054-000, S.J.R. Preto, SP
dc.description.affiliationUnespDepartamento de Matemática Universidade Estadual Paulista, 15054-000, S.J.R. Preto, SP
dc.format.extent282-287
dc.identifierhttp://dx.doi.org/10.1016/j.jmaa.2013.06.051
dc.identifier.citationJournal of Mathematical Analysis and Applications, v. 409, n. 1, p. 282-287, 2014.
dc.identifier.doi10.1016/j.jmaa.2013.06.051
dc.identifier.file2-s2.0-84883455431.pdf
dc.identifier.issn0022-247X
dc.identifier.issn1096-0813
dc.identifier.scopus2-s2.0-84883455431
dc.identifier.urihttp://hdl.handle.net/11449/76935
dc.identifier.wosWOS:000324974700027
dc.language.isoeng
dc.relation.ispartofJournal of Mathematical Analysis and Applications
dc.relation.ispartofjcr1.138
dc.relation.ispartofsjr1,103
dc.rights.accessRightsAcesso aberto
dc.sourceScopus
dc.subjectEuler equations
dc.subjectIncompressible flows
dc.subjectRelaxed solutions
dc.titleOn the regularity of the pressure field of relaxed solutions to Euler equations with variable densityen
dc.typeArtigo
dcterms.licensehttp://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy
dspace.entity.typePublication
unesp.campusUniversidade Estadual Paulista (UNESP), Instituto de Biociências, Letras e Ciências Exatas, São José do Rio Pretopt
unesp.departmentMatemática - IBILCEpt

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São José do Rio Preto - IBILCE - Instituto de Biociências, Letras e Ciências Exatas