A diffusion problem with gradient constraint depending on the temperature

Detalhes bibliográficos
Autor(a) principal: Azevedo, Assis
Data de Publicação: 2010
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/1822/11589
Resumo: We consider a system of a variational inequality with gradient constraint depending on the temperature, coupled with the heat equation. We prove existence of solution of this system by approximating it by a system of equations and using a fixed point argument.
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spelling A diffusion problem with gradient constraint depending on the temperaturePartial differential systemsCoupled problemsEvolutive variational inequalitiesWe consider a system of a variational inequality with gradient constraint depending on the temperature, coupled with the heat equation. We prove existence of solution of this system by approximating it by a system of equations and using a fixed point argument.Fundação para a Ciência e a Tecnologia (FCT) - Pluriannual Funding Program, projecto UT-Austin/MAT/0035/2008.Centro de Matemática da Universidade do MinhoGakkotosho Co, LtdUniversidade do MinhoAzevedo, AssisSantos, Lisa20102010-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/1822/11589eng"Advances in mathematical sciences and applications." ISSN 1343-4373. 20:1(2010) 153-168.1343-4373info: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:RCAAP2023-07-21T11:58:52Zoai:repositorium.sdum.uminho.pt:1822/11589Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T18:48:38.404224Repositório 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 diffusion problem with gradient constraint depending on the temperature
title A diffusion problem with gradient constraint depending on the temperature
spellingShingle A diffusion problem with gradient constraint depending on the temperature
Azevedo, Assis
Partial differential systems
Coupled problems
Evolutive variational inequalities
title_short A diffusion problem with gradient constraint depending on the temperature
title_full A diffusion problem with gradient constraint depending on the temperature
title_fullStr A diffusion problem with gradient constraint depending on the temperature
title_full_unstemmed A diffusion problem with gradient constraint depending on the temperature
title_sort A diffusion problem with gradient constraint depending on the temperature
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 Partial differential systems
Coupled problems
Evolutive variational inequalities
topic Partial differential systems
Coupled problems
Evolutive variational inequalities
description We consider a system of a variational inequality with gradient constraint depending on the temperature, coupled with the heat equation. We prove existence of solution of this system by approximating it by a system of equations and using a fixed point argument.
publishDate 2010
dc.date.none.fl_str_mv 2010
2010-01-01T00:00:00Z
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/1822/11589
url http://hdl.handle.net/1822/11589
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv "Advances in mathematical sciences and applications." ISSN 1343-4373. 20:1(2010) 153-168.
1343-4373
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 Gakkotosho Co, Ltd
publisher.none.fl_str_mv Gakkotosho Co, Ltd
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
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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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