Dimension of the global attractor for damped nonlinear wave equations

被引：2

作者：

Zhou, SF ^{[1
]}

机构：

[1] Sichuan Normal Univ, Dept Math, Chengdu 610064, Peoples R China

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1999年 / 127卷 / 12期

关键词：

wave equation; global attractor; Hausdorff dimension;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An estimate on the Hausdorff dimension of the global attractor for damped nonlinear wave equations, in two cases of nonlinear damping and linear damping, with Dirichlet boundary condition is obtained. The gained Hausdorff dimension is bounded and is independent of the concrete form of nonlinear damping term. In the case of linear damping, the gained Hausdorff dimension remains small for large damping, which conforms to the physical intuition.

引用

页码：3623 / 3631

页数：9

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