A Global well-posedness result for the Rosensweig system of ferrofluids

In this Paper we study a Bloch-Torrey regularization of the Rosensweig system for ferrofluids. The scope of this paper is twofold. First of all, we investigate the existence and uniqueness of Leray-Hopf solutions of this model in the whole space $\mathbb{R}^2$. In the second part of this paper we in...

Descripción completa

Detalles Bibliográficos
Autores: Scrobogna, S., De Anna, F.
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2019
País:España
Institución:Basque Center for Applied Mathematics (BCAM)
Repositorio:BIRD. BCAM's Institutional Repository Data
OAI Identifier:oai:bird.bcamath.org:20.500.11824/916
Acceso en línea:http://hdl.handle.net/20.500.11824/916
Access Level:acceso abierto
Palabra clave:Ferrofluids
fractional time derivative
global well-posedness
long time behavior
decay estimates
regularity propagation
id ES_60809c8fce4eb8061aaa6aea9d4ba2e7
oai_identifier_str oai:bird.bcamath.org:20.500.11824/916
network_acronym_str ES
network_name_str España
repository_id_str
spelling A Global well-posedness result for the Rosensweig system of ferrofluidsScrobogna, S.De Anna, F.Ferrofluidsfractional time derivativeglobal well-posednesslong time behaviordecay estimatesregularity propagationIn this Paper we study a Bloch-Torrey regularization of the Rosensweig system for ferrofluids. The scope of this paper is twofold. First of all, we investigate the existence and uniqueness of Leray-Hopf solutions of this model in the whole space $\mathbb{R}^2$. In the second part of this paper we investigate both the long-time behavior of weak solutions and the propagation of Sobolev regularities in dimension two201920192019info:eu-repo/semantics/articleinfo:eu-repo/semantics/acceptedVersionapplication/pdfhttp://hdl.handle.net/20.500.11824/916reponame:BIRD. BCAM's Institutional Repository Datainstname:Basque Center for Applied Mathematics (BCAM)Inglésinfo:eu-repo/grantAgreement/MINECO//SEV-2017-0718info:eu-repo/grantAgreement/MINECO//MTM2017-82184-Rinfo:eu-repo/grantAgreement/Gobierno Vasco/BERC/BERC.2018-2021Reconocimiento-NoComercial-CompartirIgual 3.0 Españahttp://creativecommons.org/licenses/by-nc-sa/3.0/es/info:eu-repo/semantics/openAccessoai:bird.bcamath.org:20.500.11824/9162026-06-19T12:47:47Z
dc.title.none.fl_str_mv A Global well-posedness result for the Rosensweig system of ferrofluids
title A Global well-posedness result for the Rosensweig system of ferrofluids
spellingShingle A Global well-posedness result for the Rosensweig system of ferrofluids
Scrobogna, S.
Ferrofluids
fractional time derivative
global well-posedness
long time behavior
decay estimates
regularity propagation
title_short A Global well-posedness result for the Rosensweig system of ferrofluids
title_full A Global well-posedness result for the Rosensweig system of ferrofluids
title_fullStr A Global well-posedness result for the Rosensweig system of ferrofluids
title_full_unstemmed A Global well-posedness result for the Rosensweig system of ferrofluids
title_sort A Global well-posedness result for the Rosensweig system of ferrofluids
dc.creator.none.fl_str_mv Scrobogna, S.
De Anna, F.
author Scrobogna, S.
author_facet Scrobogna, S.
De Anna, F.
author_role author
author2 De Anna, F.
author2_role author
dc.subject.none.fl_str_mv Ferrofluids
fractional time derivative
global well-posedness
long time behavior
decay estimates
regularity propagation
topic Ferrofluids
fractional time derivative
global well-posedness
long time behavior
decay estimates
regularity propagation
description In this Paper we study a Bloch-Torrey regularization of the Rosensweig system for ferrofluids. The scope of this paper is twofold. First of all, we investigate the existence and uniqueness of Leray-Hopf solutions of this model in the whole space $\mathbb{R}^2$. In the second part of this paper we investigate both the long-time behavior of weak solutions and the propagation of Sobolev regularities in dimension two
publishDate 2019
dc.date.none.fl_str_mv 2019
2019
2019
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/acceptedVersion
format article
status_str acceptedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/20.500.11824/916
url http://hdl.handle.net/20.500.11824/916
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv info:eu-repo/grantAgreement/MINECO//SEV-2017-0718
info:eu-repo/grantAgreement/MINECO//MTM2017-82184-R
info:eu-repo/grantAgreement/Gobierno Vasco/BERC/BERC.2018-2021
dc.rights.none.fl_str_mv Reconocimiento-NoComercial-CompartirIgual 3.0 España
http://creativecommons.org/licenses/by-nc-sa/3.0/es/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Reconocimiento-NoComercial-CompartirIgual 3.0 España
http://creativecommons.org/licenses/by-nc-sa/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:BIRD. BCAM's Institutional Repository Data
instname:Basque Center for Applied Mathematics (BCAM)
instname_str Basque Center for Applied Mathematics (BCAM)
reponame_str BIRD. BCAM's Institutional Repository Data
collection BIRD. BCAM's Institutional Repository Data
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869409311093948416
score 15,300724

Similares en LA Referencia