On the regularity of the pressure field of relaxed solutions to Euler equations with variable density
Autor(a) principal: | |
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Data de Publicação: | 2014 |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1016/j.jmaa.2013.06.051 http://hdl.handle.net/11449/76935 |
Resumo: | In 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. |
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On the regularity of the pressure field of relaxed solutions to Euler equations with variable densityEuler equationsIncompressible flowsRelaxed solutionsIn 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.Departamento de Matemática Universidade Estadual Paulista, 15054-000, S.J.R. Preto, SPDepartamento de Matemática Universidade Estadual Paulista, 15054-000, S.J.R. Preto, SPUniversidade Estadual Paulista (Unesp)Precioso, Juliana Conceição [UNESP]2014-05-27T11:30:53Z2014-05-27T11:30:53Z2014-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article282-287application/pdfhttp://dx.doi.org/10.1016/j.jmaa.2013.06.051Journal of Mathematical Analysis and Applications, v. 409, n. 1, p. 282-287, 2014.0022-247X1096-0813http://hdl.handle.net/11449/7693510.1016/j.jmaa.2013.06.051WOS:0003249747000272-s2.0-848834554312-s2.0-84883455431.pdfScopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJournal of Mathematical Analysis and Applications1.1381,103info:eu-repo/semantics/openAccess2023-11-28T06:16:56Zoai:repositorio.unesp.br:11449/76935Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462023-11-28T06:16:56Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
On the regularity of the pressure field of relaxed solutions to Euler equations with variable density |
title |
On the regularity of the pressure field of relaxed solutions to Euler equations with variable density |
spellingShingle |
On the regularity of the pressure field of relaxed solutions to Euler equations with variable density Precioso, Juliana Conceição [UNESP] Euler equations Incompressible flows Relaxed solutions |
title_short |
On the regularity of the pressure field of relaxed solutions to Euler equations with variable density |
title_full |
On the regularity of the pressure field of relaxed solutions to Euler equations with variable density |
title_fullStr |
On the regularity of the pressure field of relaxed solutions to Euler equations with variable density |
title_full_unstemmed |
On the regularity of the pressure field of relaxed solutions to Euler equations with variable density |
title_sort |
On the regularity of the pressure field of relaxed solutions to Euler equations with variable density |
author |
Precioso, Juliana Conceição [UNESP] |
author_facet |
Precioso, Juliana Conceição [UNESP] |
author_role |
author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (Unesp) |
dc.contributor.author.fl_str_mv |
Precioso, Juliana Conceição [UNESP] |
dc.subject.por.fl_str_mv |
Euler equations Incompressible flows Relaxed solutions |
topic |
Euler equations Incompressible flows Relaxed solutions |
description |
In 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. |
publishDate |
2014 |
dc.date.none.fl_str_mv |
2014-05-27T11:30:53Z 2014-05-27T11:30:53Z 2014-01-01 |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://dx.doi.org/10.1016/j.jmaa.2013.06.051 Journal of Mathematical Analysis and Applications, v. 409, n. 1, p. 282-287, 2014. 0022-247X 1096-0813 http://hdl.handle.net/11449/76935 10.1016/j.jmaa.2013.06.051 WOS:000324974700027 2-s2.0-84883455431 2-s2.0-84883455431.pdf |
url |
http://dx.doi.org/10.1016/j.jmaa.2013.06.051 http://hdl.handle.net/11449/76935 |
identifier_str_mv |
Journal of Mathematical Analysis and Applications, v. 409, n. 1, p. 282-287, 2014. 0022-247X 1096-0813 10.1016/j.jmaa.2013.06.051 WOS:000324974700027 2-s2.0-84883455431 2-s2.0-84883455431.pdf |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Journal of Mathematical Analysis and Applications 1.138 1,103 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
282-287 application/pdf |
dc.source.none.fl_str_mv |
Scopus reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
instname_str |
Universidade Estadual Paulista (UNESP) |
instacron_str |
UNESP |
institution |
UNESP |
reponame_str |
Repositório Institucional da UNESP |
collection |
Repositório Institucional da UNESP |
repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
|
_version_ |
1803649842756452352 |