2026-04-13T03:06:47Zhttps://recercat.cat/oai/request

oai:recercat.cat:2117/9132025-07-17T10:50:47Zcom_2072_1033col_2072_452950

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 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 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. 2003 Article https://hdl.handle.net/2117/913 eng http://creativecommons.org/licenses/by-nc-nd/2.5/es/ Open Access Attribution-NonCommercial-NoDerivs 2.5 Spain 15 application/pdf