Upper semicontinuity of global attractors for quasilinear parabolic equations on unbounded thin domains

Detalhes bibliográficos
Autor(a) principal: Silva, Ricardo P. [UNESP]
Data de Publicação: 2015
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1007/s40863-015-0015-3
http://hdl.handle.net/11449/184094
Resumo: We consider the asymptotic behavior of quasilinear parabolic equations posed in a family of unbounded domains that degenerates onto a lower dimensional set. Considering an auxiliary family of weighted Sobolev spaces we show the existence of global attractors and we analyze convergence properties of the solutions as well of the attractors.
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spelling Upper semicontinuity of global attractors for quasilinear parabolic equations on unbounded thin domainsThin domainsp-LaplacianGlobal attractorsWe consider the asymptotic behavior of quasilinear parabolic equations posed in a family of unbounded domains that degenerates onto a lower dimensional set. Considering an auxiliary family of weighted Sobolev spaces we show the existence of global attractors and we analyze convergence properties of the solutions as well of the attractors.Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Univ Estadual Paulista, Inst Geociencias & Ciencias Exatas, Rio Claro, SP, BrazilUniv Estadual Paulista, Inst Geociencias & Ciencias Exatas, Rio Claro, SP, BrazilFAPESP: 2012/06753-8FAPESP: 2014/16165-1CNPq: 440371/2014-7SpringerUniversidade Estadual Paulista (Unesp)Silva, Ricardo P. [UNESP]2019-10-03T18:19:48Z2019-10-03T18:19:48Z2015-12-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article251-262http://dx.doi.org/10.1007/s40863-015-0015-3Sao Paulo Journal Of Mathematical Sciences. Cham: Springer International Publishing Ag, v. 9, n. 2, p. 251-262, 2015.1982-6907http://hdl.handle.net/11449/18409410.1007/s40863-015-0015-3WOS:000449598800007Web of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengSao Paulo Journal Of Mathematical Sciencesinfo:eu-repo/semantics/openAccess2021-10-23T12:39:44Zoai:repositorio.unesp.br:11449/184094Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T17:02:55.736957Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Upper semicontinuity of global attractors for quasilinear parabolic equations on unbounded thin domains
title Upper semicontinuity of global attractors for quasilinear parabolic equations on unbounded thin domains
spellingShingle Upper semicontinuity of global attractors for quasilinear parabolic equations on unbounded thin domains
Silva, Ricardo P. [UNESP]
Thin domains
p-Laplacian
Global attractors
title_short Upper semicontinuity of global attractors for quasilinear parabolic equations on unbounded thin domains
title_full Upper semicontinuity of global attractors for quasilinear parabolic equations on unbounded thin domains
title_fullStr Upper semicontinuity of global attractors for quasilinear parabolic equations on unbounded thin domains
title_full_unstemmed Upper semicontinuity of global attractors for quasilinear parabolic equations on unbounded thin domains
title_sort Upper semicontinuity of global attractors for quasilinear parabolic equations on unbounded thin domains
author Silva, Ricardo P. [UNESP]
author_facet Silva, Ricardo P. [UNESP]
author_role author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Silva, Ricardo P. [UNESP]
dc.subject.por.fl_str_mv Thin domains
p-Laplacian
Global attractors
topic Thin domains
p-Laplacian
Global attractors
description We consider the asymptotic behavior of quasilinear parabolic equations posed in a family of unbounded domains that degenerates onto a lower dimensional set. Considering an auxiliary family of weighted Sobolev spaces we show the existence of global attractors and we analyze convergence properties of the solutions as well of the attractors.
publishDate 2015
dc.date.none.fl_str_mv 2015-12-01
2019-10-03T18:19:48Z
2019-10-03T18:19:48Z
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/10.1007/s40863-015-0015-3
Sao Paulo Journal Of Mathematical Sciences. Cham: Springer International Publishing Ag, v. 9, n. 2, p. 251-262, 2015.
1982-6907
http://hdl.handle.net/11449/184094
10.1007/s40863-015-0015-3
WOS:000449598800007
url http://dx.doi.org/10.1007/s40863-015-0015-3
http://hdl.handle.net/11449/184094
identifier_str_mv Sao Paulo Journal Of Mathematical Sciences. Cham: Springer International Publishing Ag, v. 9, n. 2, p. 251-262, 2015.
1982-6907
10.1007/s40863-015-0015-3
WOS:000449598800007
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Sao Paulo Journal Of Mathematical Sciences
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 251-262
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv Web of Science
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_ 1808128745716842496

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