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

被引：29
|
作者：
Wu, Hao [1 ]
机构：
[1] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2008年 / 348卷 / 02期
基金：
中国博士后科学基金;
关键词：
nonlinear plate equation; thermal memory; global attractor; convergence to equilibrium; Lojasiewicz-Simon inequality;
D O I：
10.1016/j.jmaa.2008.08.001
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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.
引用
收藏
页码：650 / 670
页数：21
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