International Journal of Differential Equations
Volume 2011 (2011), Article ID 941679, 17 pages
http://dx.doi.org/10.1155/2011/941679
Research Article

Global Existence of the Higher-Dimensional Linear System of Thermoviscoelasticity

Zhiyong Ma

College of Science, Shanghai Second Polytechnic University, Shanghai 201209, China

Received 4 May 2011; Revised 28 June 2011; Accepted 30 June 2011

Academic Editor: Stanisław Migórski

Copyright © 2011 Zhiyong Ma. 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 obtain a global existence result for the higher-dimensional thermoviscoelastic equations. Using semigroup approach, we will establish the global existence of homogeneous, nonhomogeneous, linear, semilinear, and nonlinear, thermoviscoelastic systems.