Exponential decay in one-dimensional type III thermoelasticity with voids

descriptionPublicationkeyboard_double_arrow_right Article 01 Aug 2019 Spain English Publisher:Elsevier BVJournal:Applied Mathematics Letters, volume 94, pages 30-37 (issn: 0893-9659,

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Authors: Miranville, Alain; Quintanilla de Latorre, Ramón;

doi: 10.1016/j.aml.2019.02.014

handle: 2117/130728

Exponential decay in one-dimensional type III thermoelasticity with voids

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Abstract

In this paper we consider the one-dimensional type III thermoelastic theory with voids. We prove that generically we have exponential stability of the solutions. This is a striking fact if one compares it with the behavior in the case of the thermoelastic theory based on the classical Fourier law for which the decayis generically slower.

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Spain

Related Organizations

Universitat Polite`cnica de Catalunya
Spain
Laboratoire de Mathématiques et Applications
France
University of Poitiers
France
Fudan University
China (People's Republic of)
Biomolécules : Conception, Isolement, Synthèse
France

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Keywords

generic exponential decay, :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], :35 Partial differential equations::35Q Equations of mathematical physics and other areas of application [Classificació AMS], Asymptotic behavior of solutions to PDEs, 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, :Matemàtiques i estadística::Matemàtica aplicada a les ciències [Àrees temàtiques de la UPC], exponential decay, :74 Mechanics of deformable solids::74E Material properties given special treatment [Classificació AMS], :35 Partial differential equations::35B Qualitative properties of solutions [Classificació AMS], Type III thermoelasticity, Thermal effects in solid mechanics, Classificació AMS::74 Mechanics of deformable solids::74E Material properties given special treatment, Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències, Classificació AMS::35 Partial differential equations::35B Qualitative properties of solutions, voids, Linear constitutive equations for materials with memory, PDEs in connection with mechanics of deformable solids, Classificació AMS::35 Partial differential equations::35Q Equations of mathematical physics and other areas of application, Thermoelasticity, Termoelasticitat

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