On the thermoelasticity with several dissipative mechanisms of type III

It is accepted that we cannot obtain the exponential decay of the solutions to the type III thermoelasticity when the dimension of the domain is greater than one. In this short note, we prove that we can show the exponential decay if we consider n2 type III dissipative mechanisms whenever the coupli...

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Detalles Bibliográficos
Autores: Fernández García, José Ramón|||0000-0002-8533-1858, Quintanilla de Latorre, Ramón|||0000-0001-7059-7058
Tipo de recurso: artículo
Fecha de publicación:2023
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:2117/401915
Acceso en línea:https://hdl.handle.net/2117/401915
https://dx.doi.org/10.1002/mma.9055
Access Level:acceso abierto
Palabra clave:Thermoelasticity
Dissipative mechanisms
Exponential decay
Semigroups
Type III thermoelasticity
Termoelasticitat
Classificació AMS::74 Mechanics of deformable solids
Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències
Descripción
Sumario:It is accepted that we cannot obtain the exponential decay of the solutions to the type III thermoelasticity when the dimension of the domain is greater than one. In this short note, we prove that we can show the exponential decay if we consider n2 type III dissipative mechanisms whenever the coupling terms satisfy a certain condition