Bounds for the subsistence of a problem of heat conduction

Detalhes bibliográficos
Autor(a) principal: Barrea,Andrés
Data de Publicação: 2003
Outros Autores: Turner,Cristina
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Computational & Applied Mathematics
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022003000200003
Resumo: In this paper, we consider a slab represented by the interval 0 < x < 1, at the initial temperature u0(x) > 0 and having a heat flux q(t) on the left face and a nonlinear condition on the right face x = 1. We consider the corresponding heat conduction problem and we assume that the phase-change temperature is 0ºC. We prove that certain conditions on the data are necessary and sufficient in order to obtain estimations of the occurrence of a phase-change in the material.
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spelling Bounds for the subsistence of a problem of heat conductionheat conductionchangephasefreeboundaryIn this paper, we consider a slab represented by the interval 0 < x < 1, at the initial temperature u0(x) > 0 and having a heat flux q(t) on the left face and a nonlinear condition on the right face x = 1. We consider the corresponding heat conduction problem and we assume that the phase-change temperature is 0ºC. We prove that certain conditions on the data are necessary and sufficient in order to obtain estimations of the occurrence of a phase-change in the material.Sociedade Brasileira de Matemática Aplicada e Computacional2003-01-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022003000200003Computational &amp; Applied Mathematics v.22 n.2 2003reponame:Computational & Applied Mathematicsinstname:Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)instacron:SBMACinfo:eu-repo/semantics/openAccessBarrea,AndrésTurner,Cristinaeng2004-07-20T00:00:00Zoai:scielo:S1807-03022003000200003Revistahttps://www.scielo.br/j/cam/ONGhttps://old.scielo.br/oai/scielo-oai.php||sbmac@sbmac.org.br1807-03022238-3603opendoar:2004-07-20T00:00Computational & Applied Mathematics - Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)false
dc.title.none.fl_str_mv Bounds for the subsistence of a problem of heat conduction
title Bounds for the subsistence of a problem of heat conduction
spellingShingle Bounds for the subsistence of a problem of heat conduction
Barrea,Andrés
heat conduction
change
phase
free
boundary
title_short Bounds for the subsistence of a problem of heat conduction
title_full Bounds for the subsistence of a problem of heat conduction
title_fullStr Bounds for the subsistence of a problem of heat conduction
title_full_unstemmed Bounds for the subsistence of a problem of heat conduction
title_sort Bounds for the subsistence of a problem of heat conduction
author Barrea,Andrés
author_facet Barrea,Andrés
Turner,Cristina
author_role author
author2 Turner,Cristina
author2_role author
dc.contributor.author.fl_str_mv Barrea,Andrés
Turner,Cristina
dc.subject.por.fl_str_mv heat conduction
change
phase
free
boundary
topic heat conduction
change
phase
free
boundary
description In this paper, we consider a slab represented by the interval 0 < x < 1, at the initial temperature u0(x) > 0 and having a heat flux q(t) on the left face and a nonlinear condition on the right face x = 1. We consider the corresponding heat conduction problem and we assume that the phase-change temperature is 0ºC. We prove that certain conditions on the data are necessary and sufficient in order to obtain estimations of the occurrence of a phase-change in the material.
publishDate 2003
dc.date.none.fl_str_mv 2003-01-01
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022003000200003
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022003000200003
dc.language.iso.fl_str_mv eng
language eng
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv text/html
dc.publisher.none.fl_str_mv Sociedade Brasileira de Matemática Aplicada e Computacional
publisher.none.fl_str_mv Sociedade Brasileira de Matemática Aplicada e Computacional
dc.source.none.fl_str_mv Computational &amp; Applied Mathematics v.22 n.2 2003
reponame:Computational & Applied Mathematics
instname:Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)
instacron:SBMAC
instname_str Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)
instacron_str SBMAC
institution SBMAC
reponame_str Computational & Applied Mathematics
collection Computational & Applied Mathematics
repository.name.fl_str_mv Computational & Applied Mathematics - Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)
repository.mail.fl_str_mv ||sbmac@sbmac.org.br
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