Open Access Research Article

Transmission Problem in Thermoelasticity

MargarethS Alves1, JaimeE Muñoz Rivera2, Mauricio Sepúlveda3* and Octavio Vera Villagrán4

Author Affiliations

1 Departamento de Matemática, Universidade Federal de Viçosa (UFV), 36570-000 Viçosa, MG, Brazil

2 National Laboratory for Scientific Computation, Rua Getulio Vargas 333, Quitandinha-Petrópolis, 25651-070, Rio de Janeiro, RJ, Brazil

3 CI2MA and Departamento de Ingeniería Matemática, Universidad de Concepción, Casilla 160-C, 4070386 Concepción, Chile

4 Departamento de Matemática, Universidad del Bío-Bío, Collao 1202, Casilla 5-C, 4081112 Concepción, Chile

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Boundary Value Problems 2011, 2011:190548 doi:10.1155/2011/190548

Published: 9 March 2011

Abstract

We show that the energy to the thermoelastic transmission problem decays exponentially as time goes to infinity. We also prove the existence, uniqueness, and regularity of the solution to the system.