Dimension of the global attractor for discretization of damped Sine-Gordon equation

被引：6

作者：

Zhou, SF ^{[1
]}

机构：

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

来源：

APPLIED MATHEMATICS LETTERS | 1999年 / 12卷 / 01期

关键词：

Sine-Gordon equation; finite difference; global attractor; Hausdorff dimension;

D O I：

10.1016/S0893-9659(98)00132-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A more precise estimate on the dimension of the global attractor for discretization of damped sine-Gordon equation with the periodic boundary condition is obtained. The gained Hausdorff dimension remains small for large damping and is independent of the mesh sizes. (C) 1998 Elsevier Science Ltd. All rights reserved.

引用

页码：95 / 100

页数：6

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