The Global Attractor of Thermoelastic Coupled System

Danxia Wang, Jianwen Zhang

Department of Mathematics, Taiyuan University of Technology, Taiyuan, China.

DOI: 10.4236/ijmnta.2012.13015                

Abstract

In this paper, we consider a class of Sine-Gordon equations which arise from the model of the thermoelastic coupled rod. Firstly, by virtue of the classical semigroup theory, we prove the existence and uniqueness of the mild solution under certain initial-boundary value for above-mentioned equations. Secondly, we obtain the boundedness of solutions by the priori estimates. Lastly, we prove the existence of a global attractor.

Keywords

The Mild Solution; Priori Estimates; Thermoelastic Coupled Rod; Global Attractor

Conflicts of Interest

The authors declare no conflicts of interest.

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