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P. Massatt, “Limiting Behavior for Strongly Damped Nonlinear Wave Equations,” Journal of Differential Equations, Vol. 48, No. 3, 1983, pp. 334-349. doi:10.1016/0022-0396(83)90098-0

has been cited by the following article:

• 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.