One-dimensional global attractor for the damped and driven sine-Gordon equation

被引：6

作者：

Qian, M ^{[1
]}

Zhou, SF ^{[1
]}

Zhu, S ^{[1
]}

机构：

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

来源：

SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY | 1998年 / 41卷 / 02期

关键词：

sine-Gordon equation; global attractor; horizontal curve;

D O I：

10.1007/BF02897436

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The damped and driven sine-Gordon equation with Neumann boundary conditions is studied. It is shown that it has a one-dimensional global attractor in a suitable functional space when the "damping" and the "diffusing" are not very small.

引用

页码：113 / 122

页数：10

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