One-dimensional global attractor for strongly damped wave equations

被引：6
|
作者：
Li, Hongyan [1 ]
Zhou, Shengfan [1 ]
机构：
[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2007年 / 12卷 / 05期
关键词：
Wave equation; Global attractor; Horizontal curve;
D O I：
10.1016/j.cnsns.2005.06.007
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the dynamical behavior of the strongly damped wave equations under homogeneous Neumann boundary condition. By the property of limit set of asymptotic autonomous differential equations, we prove that in certain parameter region, the system has a one-dimensional global attractor, which is a periodic horizontal curve. (C) 2005 Elsevier B. V. All rights reserved.
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页码：784 / 793
页数：10
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