On a Caginalp phase-field system with two temperatures and memory

The final publication is available at Springer via https://doi.org/10.1007/s00032-017-0263-z

Detalles Bibliográficos
Autores: Conti, Monica, Gatti, Stefania, Miranville, Alain, Quintanilla de Latorre, Ramón|||0000-0001-7059-7058
Tipo de recurso: artículo
Fecha de publicación:2017
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:2117/104992
Acceso en línea:https://hdl.handle.net/2117/104992
https://dx.doi.org/10.1007/s00032-017-0263-z
Access Level:acceso abierto
Palabra clave:Thermoelasticity
Caginalp system
Two temperatures
Gurtin-Pipkin law
Dissipativity
Exponential attractor stability 
Termoelasticitat
Equacions diferencials parcials
Classificació AMS::35 Partial differential equations::35B Qualitative properties of solutions
Classificació AMS::35 Partial differential equations::35K Parabolic equations and systems
Classificació AMS::35 Partial differential equations::35L Partial differential equations of hyperbolic type
Classificació AMS::80 Classical thermodynamics, heat transfer::80A Thermodynamics and heat transfer
Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències
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repository_id_str
spelling On a Caginalp phase-field system with two temperatures and memoryConti, MonicaGatti, StefaniaMiranville, AlainQuintanilla de Latorre, Ramón|||0000-0001-7059-7058ThermoelasticityCaginalp systemTwo temperaturesGurtin-Pipkin lawDissipativityExponential attractor stability TermoelasticitatEquacions diferencials parcialsClassificació AMS::35 Partial differential equations::35B Qualitative properties of solutionsClassificació AMS::35 Partial differential equations::35K Parabolic equations and systemsClassificació AMS::35 Partial differential equations::35L Partial differential equations of hyperbolic typeClassificació AMS::80 Classical thermodynamics, heat transfer::80A Thermodynamics and heat transferÀrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciènciesThe final publication is available at Springer via https://doi.org/10.1007/s00032-017-0263-zThe Caginalp phase-field system has been proposed in [4] as a simple mathematical model for phase transition phenomena. In this paper, we are concerned with a generalization of this system based on the Gurtin-Pipkin law with two temperatures for heat conduction with memory, apt to describe transition phenomena in nonsimple materials. The model consists of a parabolic equation governing the order parameter which is linearly coupled with a nonclassical integrodifferential equation ruling the evolution of the thermodynamic temperature of the material. Our aim is to construct a robust family of exponential attractors for the associated semigroup, showing the stability of the system with respect to the collapse of the memory kernel. We also study the spatial behavior of the solutions in a semi-infinite cylinder, when such solutions exist.Peer Reviewed20172017-06-0120172017-05-29journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/104992https://dx.doi.org/10.1007/s00032-017-0263-zreponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)InglésengMinisterio de Economía y Competitividad http://doi.org/10.13039/501100003329 MTM2013-42004-P ANALISIS MATEMATICO DE LAS ECUACIONES EN DERIVADAS PARCIALES DE LA TERMOMECANICAopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/1049922026-05-27T15:37:01Z
dc.title.none.fl_str_mv On a Caginalp phase-field system with two temperatures and memory
title On a Caginalp phase-field system with two temperatures and memory
spellingShingle On a Caginalp phase-field system with two temperatures and memory
Conti, Monica
Thermoelasticity
Caginalp system
Two temperatures
Gurtin-Pipkin law
Dissipativity
Exponential attractor stability 
Termoelasticitat
Equacions diferencials parcials
Classificació AMS::35 Partial differential equations::35B Qualitative properties of solutions
Classificació AMS::35 Partial differential equations::35K Parabolic equations and systems
Classificació AMS::35 Partial differential equations::35L Partial differential equations of hyperbolic type
Classificació AMS::80 Classical thermodynamics, heat transfer::80A Thermodynamics and heat transfer
Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències
title_short On a Caginalp phase-field system with two temperatures and memory
title_full On a Caginalp phase-field system with two temperatures and memory
title_fullStr On a Caginalp phase-field system with two temperatures and memory
title_full_unstemmed On a Caginalp phase-field system with two temperatures and memory
title_sort On a Caginalp phase-field system with two temperatures and memory
dc.creator.none.fl_str_mv Conti, Monica
Gatti, Stefania
Miranville, Alain
Quintanilla de Latorre, Ramón|||0000-0001-7059-7058
author Conti, Monica
author_facet Conti, Monica
Gatti, Stefania
Miranville, Alain
Quintanilla de Latorre, Ramón|||0000-0001-7059-7058
author_role author
author2 Gatti, Stefania
Miranville, Alain
Quintanilla de Latorre, Ramón|||0000-0001-7059-7058
author2_role author
author
author
dc.subject.none.fl_str_mv Thermoelasticity
Caginalp system
Two temperatures
Gurtin-Pipkin law
Dissipativity
Exponential attractor stability 
Termoelasticitat
Equacions diferencials parcials
Classificació AMS::35 Partial differential equations::35B Qualitative properties of solutions
Classificació AMS::35 Partial differential equations::35K Parabolic equations and systems
Classificació AMS::35 Partial differential equations::35L Partial differential equations of hyperbolic type
Classificació AMS::80 Classical thermodynamics, heat transfer::80A Thermodynamics and heat transfer
Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències
topic Thermoelasticity
Caginalp system
Two temperatures
Gurtin-Pipkin law
Dissipativity
Exponential attractor stability 
Termoelasticitat
Equacions diferencials parcials
Classificació AMS::35 Partial differential equations::35B Qualitative properties of solutions
Classificació AMS::35 Partial differential equations::35K Parabolic equations and systems
Classificació AMS::35 Partial differential equations::35L Partial differential equations of hyperbolic type
Classificació AMS::80 Classical thermodynamics, heat transfer::80A Thermodynamics and heat transfer
Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències
description The final publication is available at Springer via https://doi.org/10.1007/s00032-017-0263-z
publishDate 2017
dc.date.none.fl_str_mv 2017
2017-06-01
2017
2017-05-29
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/2117/104992
https://dx.doi.org/10.1007/s00032-017-0263-z
url https://hdl.handle.net/2117/104992
https://dx.doi.org/10.1007/s00032-017-0263-z
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Ministerio de Economía y Competitividad http://doi.org/10.13039/501100003329 MTM2013-42004-P ANALISIS MATEMATICO DE LAS ECUACIONES EN DERIVADAS PARCIALES DE LA TERMOMECANICA
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 15,301629

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