On dimension of the global attractor for damped nonlinear wave equations

被引：0
|
作者：
Zhou, SF [1 ]
机构：
[1] Sichuan Univ, Dept Math, Chengdu 610064, Peoples R China
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 1999年 / 40卷 / 03期
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D O I：
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中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, we obtain a more precise estimate of upper bound of the Hausdorff dimension of the global attractor for damped nonlinear wave equations with the Dirichlet boundary condition. The obtained Hausdorff dimension decreases as the damping grows and is uniformly bounded for large damping, which conforms to physical intuition. (C) 1999 American Institute of Physics. [S0022-2488(99)04502-8].
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页码：1432 / 1438
页数：7
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