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Title:
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On the time decay in phase-lag thermoelasticity with two temperatures
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Author:
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Magaña Nieto, Antonio; Miranville, Alain; Quintanilla de Latorre, Ramón
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Other authors:
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Universitat Politècnica de Catalunya. Departament de Matemàtiques; Universitat Politècnica de Catalunya. GRTJ - Grup de Recerca en Teoria de Jocs; Universitat Politècnica de Catalunya. GRAA - Grup de Recerca en Anàlisi Aplicada |
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Abstract:
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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. |
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Abstract:
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Peer Reviewed |
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Subject(s):
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-Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències
-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 |
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Rights:
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Document type:
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Article - Published version
Article |
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Published by:
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AMER INST MATHEMATICAL SCIENCES-AIMS
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