On the time decay in phase-lag thermoelasticity with two temperatures

The aim of this paper is to study the time decay of the solutions for two models of the one-dimensional phase-lag thermoelasticity with two temperatures. The first one is obtained when the heat flux vector and the inductive temperature are approximated by a second-order and first-order Taylor polyno...

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Detalles Bibliográficos
Autores: Magaña Nieto, Antonio|||0000-0003-0879-0759, Miranville, Alain, Quintanilla de Latorre, Ramón|||0000-0001-7059-7058
Tipo de recurso: artículo
Fecha de publicación:2019
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/170281
Acceso en línea:https://hdl.handle.net/2117/170281
https://dx.doi.org/10.3934/era.2019007
Access Level:acceso abierto
Palabra clave:Thermoelasticity
Differential equations, Partial
Phase-lag thermoelasticity
Exponential stability
Slow decay
Spectral analysis
Termoelasticitat
Equacions diferencials parcials
Classificació AMS::74 Mechanics of deformable solids::74F Coupling of solid mechanics with other effects
Classificació AMS::74 Mechanics of deformable solids::74H Dynamical problems
Classificació AMS::34 Ordinary differential equations::34B Boundary value problems
Classificació AMS::35 Partial differential equations::35P Spectral theory and eigenvalue problems for partial differential operators
Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències
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oai_identifier_str oai:upcommons.upc.edu:2117/170281
network_acronym_str ES
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repository_id_str
spelling On the time decay in phase-lag thermoelasticity with two temperaturesMagaña Nieto, Antonio|||0000-0003-0879-0759Miranville, AlainQuintanilla de Latorre, Ramón|||0000-0001-7059-7058ThermoelasticityDifferential equations, PartialPhase-lag thermoelasticityExponential stabilitySlow decaySpectral analysisTermoelasticitatEquacions diferencials parcialsClassificació AMS::74 Mechanics of deformable solids::74F Coupling of solid mechanics with other effectsClassificació AMS::74 Mechanics of deformable solids::74H Dynamical problemsClassificació AMS::34 Ordinary differential equations::34B Boundary value problemsClassificació AMS::35 Partial differential equations::35P Spectral theory and eigenvalue problems for partial differential operatorsÀrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciènciesThe aim of this paper is to study the time decay of the solutions for two models of the one-dimensional phase-lag thermoelasticity with two temperatures. The first one is obtained when the heat flux vector and the inductive temperature are approximated by a second-order and first-order Taylor polynomial, respectively. In this case, the solutions decay in a slow way. The second model that we consider is obtained taking first-order Taylor approximations for the inductive thermal displacement, the inductive temperature and the heat flux. The decay is, therefore, of exponential type.Peer ReviewedAMER INST MATHEMATICAL SCIENCES-AIMS20192019-09-1220192019-10-16journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/170281https://dx.doi.org/10.3934/era.2019007reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/1702812026-05-27T15:37:01Z
dc.title.none.fl_str_mv On the time decay in phase-lag thermoelasticity with two temperatures
title On the time decay in phase-lag thermoelasticity with two temperatures
spellingShingle On the time decay in phase-lag thermoelasticity with two temperatures
Magaña Nieto, Antonio|||0000-0003-0879-0759
Thermoelasticity
Differential equations, Partial
Phase-lag thermoelasticity
Exponential stability
Slow decay
Spectral analysis
Termoelasticitat
Equacions diferencials parcials
Classificació AMS::74 Mechanics of deformable solids::74F Coupling of solid mechanics with other effects
Classificació AMS::74 Mechanics of deformable solids::74H Dynamical problems
Classificació AMS::34 Ordinary differential equations::34B Boundary value problems
Classificació AMS::35 Partial differential equations::35P Spectral theory and eigenvalue problems for partial differential operators
Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències
title_short On the time decay in phase-lag thermoelasticity with two temperatures
title_full On the time decay in phase-lag thermoelasticity with two temperatures
title_fullStr On the time decay in phase-lag thermoelasticity with two temperatures
title_full_unstemmed On the time decay in phase-lag thermoelasticity with two temperatures
title_sort On the time decay in phase-lag thermoelasticity with two temperatures
dc.creator.none.fl_str_mv Magaña Nieto, Antonio|||0000-0003-0879-0759
Miranville, Alain
Quintanilla de Latorre, Ramón|||0000-0001-7059-7058
author Magaña Nieto, Antonio|||0000-0003-0879-0759
author_facet Magaña Nieto, Antonio|||0000-0003-0879-0759
Miranville, Alain
Quintanilla de Latorre, Ramón|||0000-0001-7059-7058
author_role author
author2 Miranville, Alain
Quintanilla de Latorre, Ramón|||0000-0001-7059-7058
author2_role author
author
dc.subject.none.fl_str_mv Thermoelasticity
Differential equations, Partial
Phase-lag thermoelasticity
Exponential stability
Slow decay
Spectral analysis
Termoelasticitat
Equacions diferencials parcials
Classificació AMS::74 Mechanics of deformable solids::74F Coupling of solid mechanics with other effects
Classificació AMS::74 Mechanics of deformable solids::74H Dynamical problems
Classificació AMS::34 Ordinary differential equations::34B Boundary value problems
Classificació AMS::35 Partial differential equations::35P Spectral theory and eigenvalue problems for partial differential operators
Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències
topic Thermoelasticity
Differential equations, Partial
Phase-lag thermoelasticity
Exponential stability
Slow decay
Spectral analysis
Termoelasticitat
Equacions diferencials parcials
Classificació AMS::74 Mechanics of deformable solids::74F Coupling of solid mechanics with other effects
Classificació AMS::74 Mechanics of deformable solids::74H Dynamical problems
Classificació AMS::34 Ordinary differential equations::34B Boundary value problems
Classificació AMS::35 Partial differential equations::35P Spectral theory and eigenvalue problems for partial differential operators
Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències
description The aim of this paper is to study the time decay of the solutions for two models of the one-dimensional phase-lag thermoelasticity with two temperatures. The first one is obtained when the heat flux vector and the inductive temperature are approximated by a second-order and first-order Taylor polynomial, respectively. In this case, the solutions decay in a slow way. The second model that we consider is obtained taking first-order Taylor approximations for the inductive thermal displacement, the inductive temperature and the heat flux. The decay is, therefore, of exponential type.
publishDate 2019
dc.date.none.fl_str_mv 2019
2019-09-12
2019
2019-10-16
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/170281
https://dx.doi.org/10.3934/era.2019007
url https://hdl.handle.net/2117/170281
https://dx.doi.org/10.3934/era.2019007
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv AMER INST MATHEMATICAL SCIENCES-AIMS
publisher.none.fl_str_mv AMER INST MATHEMATICAL SCIENCES-AIMS
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300719

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