Thermoelasticity of Moore–Gibson–Thompson type with history dependence in the temperature

In this paper, we consider a thermoelastic model where heat conduction is described by the history dependent version of the Moore–Gibson–Thompson equation, arising via the introduction of a relaxation parameter in the Green-Naghdi type III theory. The well-posedness of the resulting integro-differen...

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Detalles Bibliográficos
Autores: Conti, Monica, Pata, Vittorino, 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:2117/171428
Acceso en línea:https://hdl.handle.net/2117/171428
https://dx.doi.org/10.3233/ASY-191576
Access Level:acceso abierto
Palabra clave:Thermoelasticity
Moore–Gibson–Thompson equation
Relaxation parameter
Memory kernel
Solution semigroup
Exponential stability
Termoelasticitat
Classificació AMS::74 Mechanics of deformable solids::74F Coupling of solid mechanics with other effects
Classificació AMS::35 Partial differential equations::35Q Equations of mathematical physics and other areas of application
Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències
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network_acronym_str ES
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repository_id_str
spelling Thermoelasticity of Moore–Gibson–Thompson type with history dependence in the temperatureConti, MonicaPata, VittorinoQuintanilla de Latorre, Ramón|||0000-0001-7059-7058ThermoelasticityMoore–Gibson–Thompson equationRelaxation parameterMemory kernelThermoelasticitySolution semigroupExponential stabilityTermoelasticitatClassificació AMS::74 Mechanics of deformable solids::74F Coupling of solid mechanics with other effectsClassificació AMS::35 Partial differential equations::35Q Equations of mathematical physics and other areas of applicationÀrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciènciesIn this paper, we consider a thermoelastic model where heat conduction is described by the history dependent version of the Moore–Gibson–Thompson equation, arising via the introduction of a relaxation parameter in the Green-Naghdi type III theory. The well-posedness of the resulting integro-differential system is discussed. In the one-dimensional case, the exponential decay of the energy is provedPeer Reviewed20202020-10-0620192019-11-04journal articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/171428https://dx.doi.org/10.3233/ASY-191576reponame: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:2117/1714282026-05-27T15:37:01Z
dc.title.none.fl_str_mv Thermoelasticity of Moore–Gibson–Thompson type with history dependence in the temperature
title Thermoelasticity of Moore–Gibson–Thompson type with history dependence in the temperature
spellingShingle Thermoelasticity of Moore–Gibson–Thompson type with history dependence in the temperature
Conti, Monica
Thermoelasticity
Moore–Gibson–Thompson equation
Relaxation parameter
Memory kernel
Thermoelasticity
Solution semigroup
Exponential stability
Termoelasticitat
Classificació AMS::74 Mechanics of deformable solids::74F Coupling of solid mechanics with other effects
Classificació AMS::35 Partial differential equations::35Q Equations of mathematical physics and other areas of application
Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències
title_short Thermoelasticity of Moore–Gibson–Thompson type with history dependence in the temperature
title_full Thermoelasticity of Moore–Gibson–Thompson type with history dependence in the temperature
title_fullStr Thermoelasticity of Moore–Gibson–Thompson type with history dependence in the temperature
title_full_unstemmed Thermoelasticity of Moore–Gibson–Thompson type with history dependence in the temperature
title_sort Thermoelasticity of Moore–Gibson–Thompson type with history dependence in the temperature
dc.creator.none.fl_str_mv Conti, Monica
Pata, Vittorino
Quintanilla de Latorre, Ramón|||0000-0001-7059-7058
author Conti, Monica
author_facet Conti, Monica
Pata, Vittorino
Quintanilla de Latorre, Ramón|||0000-0001-7059-7058
author_role author
author2 Pata, Vittorino
Quintanilla de Latorre, Ramón|||0000-0001-7059-7058
author2_role author
author
dc.subject.none.fl_str_mv Thermoelasticity
Moore–Gibson–Thompson equation
Relaxation parameter
Memory kernel
Thermoelasticity
Solution semigroup
Exponential stability
Termoelasticitat
Classificació AMS::74 Mechanics of deformable solids::74F Coupling of solid mechanics with other effects
Classificació AMS::35 Partial differential equations::35Q Equations of mathematical physics and other areas of application
Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències
topic Thermoelasticity
Moore–Gibson–Thompson equation
Relaxation parameter
Memory kernel
Thermoelasticity
Solution semigroup
Exponential stability
Termoelasticitat
Classificació AMS::74 Mechanics of deformable solids::74F Coupling of solid mechanics with other effects
Classificació AMS::35 Partial differential equations::35Q Equations of mathematical physics and other areas of application
Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències
description In this paper, we consider a thermoelastic model where heat conduction is described by the history dependent version of the Moore–Gibson–Thompson equation, arising via the introduction of a relaxation parameter in the Green-Naghdi type III theory. The well-posedness of the resulting integro-differential system is discussed. In the one-dimensional case, the exponential decay of the energy is proved
publishDate 2019
dc.date.none.fl_str_mv 2019
2019-11-04
2020
2020-10-06
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
AM
http://purl.org/coar/version/c_ab4af688f83e57aa
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/171428
https://dx.doi.org/10.3233/ASY-191576
url https://hdl.handle.net/2117/171428
https://dx.doi.org/10.3233/ASY-191576
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.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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