Unbounded one-dimensional global attractor for the damped sine-Gordon equation

被引：8

作者：

Qian, M ^{[1
]}

Qin, WX ^{[1
]}

Wang, GX ^{[1
]}

Zhu, S ^{[1
]}

机构：

[1] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China

来源：

JOURNAL OF NONLINEAR SCIENCE | 2000年 / 10卷 / 04期

基金：

中国国家自然科学基金;

关键词：

sine-Gordon equation; global attractor;

D O I：

10.1007/s003329910018

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The dynamical behavior of the damped sine-Gordon equation with homogeneous Neumann boundary condition is studied. It is shown that the equation has an unbounded one-dimensional global attractor in a suitable functional space when the "damping" and the "diffusing" are not very small.

引用

页码：417 / 432

页数：16

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