International Journal of Differential Equations
Volume 2009 (2009), Article ID 185297, 18 pages
doi:10.1155/2009/185297
Research Article

Existence and Uniform Decay of Weak Solutions for Nonlinear Thermoelastic System with Memory

Liu Haihong1 and Su Ning2

1Department of Mathematics, Yunnan Normal University, Kunming 650092, China
2Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China

Received 1 January 2009; Accepted 7 July 2009

Academic Editor: Yeol Je Cho

Copyright © 2009 Liu Haihong and Su Ning. 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

A nonlinear thermoelastic system with memory is considered, which is derived from a physical model with vibration in temperature environment. By some skillful and technical arguments, results of existence, uniqueness, and uniform decay on this generalized system are obtained.