Title:
|
Thermoelasticity of Moore–Gibson–Thompson type with history dependence in the temperature
|
Author:
|
Conti, Monica; Pata, Vittorino; Quintanilla de Latorre, Ramón
|
Other authors:
|
Universitat Politècnica de Catalunya. Departament de Matemàtiques; Universitat Politècnica de Catalunya. GRAA - Grup de Recerca en Anàlisi Aplicada |
Abstract:
|
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 |
Abstract:
|
Peer Reviewed |
Subject(s):
|
-Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències -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 |
Rights:
|
|
Document type:
|
Article - Submitted version Article |
Share:
|
|