Boundary Value Problems
Volume 2011 (2011), Article ID 190548, 33 pages
doi:10.1155/2011/190548
Research Article

Transmission Problem in Thermoelasticity

Margareth S. Alves,1 Jaime E. Muñoz Rivera,2 Mauricio Sepúlveda,3 and Octavio Vera Villagrán4

1Departamento de Matemática, Universidade Federal de Viçosa (UFV), 36570-000 Viçosa, MG, Brazil
2National Laboratory for Scientific Computation, Rua Getulio Vargas 333, Quitandinha-Petrópolis, 25651-070, Rio de Janeiro, RJ, Brazil
3CI2MA and Departamento de Ingeniería Matemática, Universidad de Concepción, Casilla 160-C, 4070386 Concepción, Chile
4Departamento de Matemática, Universidad del Bío-Bío, Collao 1202, Casilla 5-C, 4081112 Concepción, Chile

Received 24 November 2010; Accepted 17 February 2011

Academic Editor: Wenming Zou

Copyright © 2011 Margareth S. Alves et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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.