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.
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页码：113 / 122
页数：10
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