A two obstacles coupled problem
Autor(a) principal: | |
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Data de Publicação: | 2015 |
Outros Autores: | |
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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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 |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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RCAAP |
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RCAAP |
reponame_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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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