A two obstacles coupled problem

Detalhes bibliográficos
Autor(a) principal: Azevedo, Assis
Data de Publicação: 2015
Outros Autores: Santos, Lisa
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/1822/34767
Resumo: We consider a system of an evolutionary variational inequality of two obstacles type, depending on the temperature, coupled with the heat equation. We prove existence of solution of this system and we present examples that motivated this work. In particular, with additional assumptions on the data, we prove that solutions of this problem are also solutions of a similar problem where the convex set is of gradient constraint type (that depends on the temperature), improving a previous result.
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spelling A two obstacles coupled problemCoupled problemVariational inequalityTwo obstaclesCiências Naturais::MatemáticasScience & TechnologyWe consider a system of an evolutionary variational inequality of two obstacles type, depending on the temperature, coupled with the heat equation. We prove existence of solution of this system and we present examples that motivated this work. In particular, with additional assumptions on the data, we prove that solutions of this problem are also solutions of a similar problem where the convex set is of gradient constraint type (that depends on the temperature), improving a previous result.This research was partially supported by CMAT - Centro de Matemática da Universidade do Minho, financed by the Strategic Project PEst-OE/MAT/UI0013/2014.ElsevierUniversidade do MinhoAzevedo, AssisSantos, Lisa2015-062015-06-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/1822/34767eng0362-546X10.1016/j.na.2015.02.019http://www.sciencedirect.com/science/article/pii/S0362546X15000693info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-07-21T11:53:55Zoai:repositorium.sdum.uminho.pt:1822/34767Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T18:43:22.877521Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv A two obstacles coupled problem
title A two obstacles coupled problem
spellingShingle A two obstacles coupled problem
Azevedo, Assis
Coupled problem
Variational inequality
Two obstacles
Ciências Naturais::Matemáticas
Science & Technology
title_short A two obstacles coupled problem
title_full A two obstacles coupled problem
title_fullStr A two obstacles coupled problem
title_full_unstemmed A two obstacles coupled problem
title_sort A two obstacles coupled problem
author Azevedo, Assis
author_facet Azevedo, Assis
Santos, Lisa
author_role author
author2 Santos, Lisa
author2_role author
dc.contributor.none.fl_str_mv Universidade do Minho
dc.contributor.author.fl_str_mv Azevedo, Assis
Santos, Lisa
dc.subject.por.fl_str_mv Coupled problem
Variational inequality
Two obstacles
Ciências Naturais::Matemáticas
Science & Technology
topic Coupled problem
Variational inequality
Two obstacles
Ciências Naturais::Matemáticas
Science & Technology
description We consider a system of an evolutionary variational inequality of two obstacles type, depending on the temperature, coupled with the heat equation. We prove existence of solution of this system and we present examples that motivated this work. In particular, with additional assumptions on the data, we prove that solutions of this problem are also solutions of a similar problem where the convex set is of gradient constraint type (that depends on the temperature), improving a previous result.
publishDate 2015
dc.date.none.fl_str_mv 2015-06
2015-06-01T00:00:00Z
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://hdl.handle.net/1822/34767
url http://hdl.handle.net/1822/34767
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0362-546X
10.1016/j.na.2015.02.019
http://www.sciencedirect.com/science/article/pii/S0362546X15000693
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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