TITLE:
The Global Attractor of Thermoelastic Coupled System
AUTHORS:
Danxia Wang, Jianwen Zhang
KEYWORDS:
The Mild Solution; Priori Estimates; Thermoelastic Coupled Rod; Global Attractor
JOURNAL NAME:
International Journal of Modern Nonlinear Theory and Application,
Vol.1 No.3,
September
28,
2012
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.