Dimension of the global attractor for strongly damped nonlinear wave equation

被引：22
|
作者：
Zhou, SF [1 ]
机构：
[1] Sichuan Univ, Dept Math, Chengdu 6100064, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1999年 / 233卷 / 01期
基金：
中国国家自然科学基金;
关键词：
wave equation; global attractor; Hausdorff dimension; equivalent norm;
D O I：
10.1006/jmaa.1999.6269
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The existence and estimate of the upper bound of the Hausdorff dimension of the global attractor for the strongly damped nonlinear wave equation with the Dirichlet boundary condition are considered by introducing a new norm in the phase space. The gained Hausdorff dimension decreases as the damping grows and remains small for large damping, which conforms to physical intuition. (C) 1999 Academic Press.
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页码：102 / 115
页数：14
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