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

Detalhes bibliográficos
Autor(a) principal: Precioso, Juliana Conceição [UNESP]
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.
id UNSP_e31d8ce26b638194a70817ea7b44ead2
oai_identifier_str oai:repositorio.unesp.br:11449/76935
network_acronym_str UNSP
network_name_str Repositório Institucional da UNESP
repository_id_str 2946
spelling 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_ 1803046704049553408

Registros relacionados