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://hdl.handle.net/11449/226043
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. © 2010 Texas State University - San Marcos.
id UNSP_1df130554acc0bc99085b67e18cae62d
oai_identifier_str oai:repositorio.unesp.br:11449/226043
network_acronym_str UNSP
network_name_str Repositório Institucional da UNESP
repository_id_str 2946
spelling Loss of exponential stability for a thermoelastic system with memoryC0-semigroup; decay of solutionsHeat conduction with memoryThermoelastic 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. © 2010 Texas State University - San Marcos.Departament of Mathematics Federal University of S. J. del-Rey, Praça Frei Orlando, 170, 36300-000 São João del Rei, MGDepartament of Mathematics São Paulo State University UNESP, Rua Cristóvão Colombo, 2265, 15054-000, São José do Rio Preto, SPDepartament of Mathematics São Paulo State University UNESP, Rua Cristóvão Colombo, 2265, 15054-000, São José do Rio Preto, SPFederal University of S. J. del-ReyUniversidade Estadual Paulista (UNESP)Alves, Bruno FerreiraBastos, Waldemar Donizete [UNESP]Raposo, Carlos Alberto2022-04-28T21:25:04Z2022-04-28T21:25:04Z2010-09-28info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article1-5Electronic Journal of Differential Equations, v. 2010, p. 1-5.1072-6691http://hdl.handle.net/11449/2260432-s2.0-77956961559Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengElectronic Journal of Differential Equationsinfo:eu-repo/semantics/openAccess2022-04-28T21:25:04Zoai:repositorio.unesp.br:11449/226043Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462022-04-28T21:25:04Repositório 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
C0-semigroup; decay of solutions
Heat conduction with memory
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 Federal University of S. J. 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 C0-semigroup; decay of solutions
Heat conduction with memory
Thermoelastic system
topic C0-semigroup; decay of solutions
Heat conduction with memory
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. © 2010 Texas State University - San Marcos.
publishDate 2010
dc.date.none.fl_str_mv 2010-09-28
2022-04-28T21:25:04Z
2022-04-28T21:25:04Z
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 Electronic Journal of Differential Equations, v. 2010, p. 1-5.
1072-6691
http://hdl.handle.net/11449/226043
2-s2.0-77956961559
identifier_str_mv Electronic Journal of Differential Equations, v. 2010, p. 1-5.
1072-6691
2-s2.0-77956961559
url http://hdl.handle.net/11449/226043
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Electronic Journal of Differential Equations
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 1-5
dc.source.none.fl_str_mv Scopus
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_ 1803649978453721088

Registros relacionados