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Exponential stability in thermoelasticity with microtemperatures
Sánchez Casas, José Pablo; Quintanilla de Latorre, Ramón
Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I; Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
This article is concerned with a linear theory for elastic materials with inner structure, whose particles in addition to the classical displacement, possess microtemperatures. In the main part of the paper we restrict our attention to the one-dimensional problem. First, we prove the slow decay of solutions for the onedimensional problem of micromorphic elastic solids with the usual thermal effects. Then, we prove the exponential stability of the solutions when we consider the theory with microtemperatures. The anti-plane distributions of microtemperatures are considered later.
Partial differential equations
Solid mechanics and its applications
Dynamical systems
thermoelasticity with microtemperatures
exponential stability
Física matemàtica
Equacions diferencials
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
Classificació AMS::74 Mechanics of deformable solids::74H Dynamical problems
Attribution-NonCommercial-NoDerivs 2.5 Spain
http://creativecommons.org/licenses/by-nc-nd/2.5/es/
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