Stability of a thermoelastic mixture with second sound-Reference-Cited by-同舟云学术

Stability of a thermoelastic mixture with second sound

Published:2018-05-29 Issue:6 Volume:24 Page:1692-1706
ISSN:1081-2865
Container-title:Mathematics and Mechanics of Solids
language:en
Short-container-title:Mathematics and Mechanics of Solids

Author:

Alves Margareth S.¹,Ferreira Marcio V.²,Muñoz Rivera Jaime E.³,Villagrán O. Vera⁴

Affiliation:

1. Departamento de Matemática, Universidade Federal de Viçosa, Viçosa, MG, Brazil

2. Departamento de Matemática, Universidade Federal de Santa Maria, Santa Maria, RS, Brazil

3. Laboratório Nacional de Computação Científica, LNCC, Petrópolis, RJ, Brazil

4. Departamento de Matemática, Universidad del Bío-Bío, Concepción, Chile

Abstract

We consider the one-dimensional model of a thermoelastic mixture with second sound. We give a complete characterization of the asymptotic properties of the model in terms of the coefficients of the model. We establish the necessary and sufficient conditions for the model to be exponential or polynomial stable and also the conditions for which there exist initial data for where the energy is conserved.

Funder

Conselho Nacional de Desenvolvimento Científico e Tecnológico

Publisher

SAGE Publications

Subject

Mechanics of Materials,General Materials Science,General Mathematics

Link

http://journals.sagepub.com/doi/pdf/10.1177/1081286518775794

Reference29 articles.

1. Exponential decay in a thermoelastic mixture of solids

2. A multi-continuum theory for composite elastic materials

3. Hyperbolic Thermoelasticity: A Review of Recent Literature

4. Thermoelasticity with second sound?exponential stability in linear and non-linear 1-d

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