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

dc.contributorUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2014-05-27T11:30:53Z
dc.date.available2014-05-27T11:30:53Z
dc.date.created2014-05-27T11:30:53Z
dc.date.issued2014-01-01
dc.identifierJournal of Mathematical Analysis and Applications, v. 409, n. 1, p. 282-287, 2014.
dc.identifier0022-247X
dc.identifier1096-0813
dc.identifierhttp://hdl.handle.net/11449/76935
dc.identifier10.1016/j.jmaa.2013.06.051
dc.identifierWOS:000324974700027
dc.identifier2-s2.0-84883455431
dc.identifier2-s2.0-84883455431.pdf
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.
dc.languageeng
dc.relationJournal of Mathematical Analysis and Applications
dc.relation1.138
dc.relation1,103
dc.rightsAcesso 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 density
dc.typeArtículos de revistas


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