LOSS of EXPONENTIAL STABILITY FOR A THERMOELASTIC SYSTEM WITH MEMORY

Detalhes bibliográficos
Autor(a) principal: Alves, Bruno Ferreira
Data de Publicação: 2010
Outros Autores: Bastos, Waldemar Donizete [UNESP], Raposo, Carlos Alberto
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://ejde.math.txstate.edu/
http://hdl.handle.net/11449/22167
Resumo: In this article we study a thermoelastic system considering the linearized model proposed by Gurtin and Pipkin [8] instead of the Fourier's law for the heat flux. We use theory of semigroups [9, 11] combining Pruss' Theorem [10] and the idea developed in [5] to show that the system is not exponentially stable.
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spelling LOSS of EXPONENTIAL STABILITY FOR A THERMOELASTIC SYSTEM WITH MEMORYHeat conduction with memoryC-0-semigroupdecay of solutionsthermoelastic systemIn this article we study a thermoelastic system considering the linearized model proposed by Gurtin and Pipkin [8] instead of the Fourier's law for the heat flux. We use theory of semigroups [9, 11] combining Pruss' Theorem [10] and the idea developed in [5] to show that the system is not exponentially stable.Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Fed Univ SJ del Rey, Dept Math, BR-36300000 Sao Joao Del Rei, MG, BrazilSão Paulo State Univ, Dept Math, UNESP, BR-15054000 Sao Jose do Rio Preto, SP, BrazilSão Paulo State Univ, Dept Math, UNESP, BR-15054000 Sao Jose do Rio Preto, SP, BrazilCNPq: 573523/2008-8CNPq: 620025/2006-9Texas State UnivFed Univ SJ del ReyUniversidade Estadual Paulista (Unesp)Alves, Bruno FerreiraBastos, Waldemar Donizete [UNESP]Raposo, Carlos Alberto2014-05-20T14:02:55Z2014-05-20T14:02:55Z2010-09-14info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article5application/pdfhttp://ejde.math.txstate.edu/Electronic Journal of Differential Equations. San Marcos: Texas State Univ, p. 5, 2010.1072-6691http://hdl.handle.net/11449/22167WOS:000208204900003WOS000208204900003.pdf6294876435136954Web of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengElectronic Journal of Differential Equations0.9440,538info:eu-repo/semantics/openAccess2024-01-23T07:12:03Zoai:repositorio.unesp.br:11449/22167Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-01-23T07:12:03Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv LOSS of EXPONENTIAL STABILITY FOR A THERMOELASTIC SYSTEM WITH MEMORY
title LOSS of EXPONENTIAL STABILITY FOR A THERMOELASTIC SYSTEM WITH MEMORY
spellingShingle LOSS of EXPONENTIAL STABILITY FOR A THERMOELASTIC SYSTEM WITH MEMORY
Alves, Bruno Ferreira
Heat conduction with memory
C-0-semigroup
decay of solutions
thermoelastic system
title_short LOSS of EXPONENTIAL STABILITY FOR A THERMOELASTIC SYSTEM WITH MEMORY
title_full LOSS of EXPONENTIAL STABILITY FOR A THERMOELASTIC SYSTEM WITH MEMORY
title_fullStr LOSS of EXPONENTIAL STABILITY FOR A THERMOELASTIC SYSTEM WITH MEMORY
title_full_unstemmed LOSS of EXPONENTIAL STABILITY FOR A THERMOELASTIC SYSTEM WITH MEMORY
title_sort LOSS of EXPONENTIAL STABILITY FOR A THERMOELASTIC SYSTEM WITH MEMORY
author Alves, Bruno Ferreira
author_facet Alves, Bruno Ferreira
Bastos, Waldemar Donizete [UNESP]
Raposo, Carlos Alberto
author_role author
author2 Bastos, Waldemar Donizete [UNESP]
Raposo, Carlos Alberto
author2_role author
author
dc.contributor.none.fl_str_mv Fed Univ SJ del Rey
Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Alves, Bruno Ferreira
Bastos, Waldemar Donizete [UNESP]
Raposo, Carlos Alberto
dc.subject.por.fl_str_mv Heat conduction with memory
C-0-semigroup
decay of solutions
thermoelastic system
topic Heat conduction with memory
C-0-semigroup
decay of solutions
thermoelastic system
description In this article we study a thermoelastic system considering the linearized model proposed by Gurtin and Pipkin [8] instead of the Fourier's law for the heat flux. We use theory of semigroups [9, 11] combining Pruss' Theorem [10] and the idea developed in [5] to show that the system is not exponentially stable.
publishDate 2010
dc.date.none.fl_str_mv 2010-09-14
2014-05-20T14:02:55Z
2014-05-20T14:02:55Z
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://ejde.math.txstate.edu/
Electronic Journal of Differential Equations. San Marcos: Texas State Univ, p. 5, 2010.
1072-6691
http://hdl.handle.net/11449/22167
WOS:000208204900003
WOS000208204900003.pdf
6294876435136954
url http://ejde.math.txstate.edu/
http://hdl.handle.net/11449/22167
identifier_str_mv Electronic Journal of Differential Equations. San Marcos: Texas State Univ, p. 5, 2010.
1072-6691
WOS:000208204900003
WOS000208204900003.pdf
6294876435136954
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Electronic Journal of Differential Equations
0.944
0,538
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 5
application/pdf
dc.publisher.none.fl_str_mv Texas State Univ
publisher.none.fl_str_mv Texas State Univ
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_ 1803650337684324352

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