Long-time behavior for a nonlinear plate equation with thermal memory

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:348

Article

Wu, Hao

关键词: nonlinear plate equation;    thermal memory;    global attractor;    convergence to equilibrium;    Lojasiewicz-Simon inequality;   

DOI  :  10.1016/j.jmaa.2008.08.001

来源: Elsevier

【 摘 要 】

We consider a nonlinear plate equation with thermal memory effects due to non-Fourier heat flux laws. First we prove the existence and uniqueness of global solutions as well as the existence of a global attractor. Then we use a suitable Lojasiewicz-Simon type inequality to show the convergence of global solutions to single steady states as time goes to infinity under the assumption that the nonlinear term f is real analytic. Moreover, we provide an estimate on the convergence rate. (C) 2008 Elsevier Inc. All rights reserved.

【 授权许可】

Free