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

共 50 条

[1] One-dimensional global attractor for the damped and driven sine-Gordon equation
钱敏
周盛凡
朱澍
Science China Mathematics, 1998, (02) : 113 - 122
[2] One-dimensional global attractor for the damped and driven sine-Gordon equation
Min Qian
Shengfan Zhou
Shu Zhu
Science in China Series A: Mathematics, 1998, 41 : 113 - 122
[3] One-dimensional global attractor for discretization of the damped driven sine-Gordon equation
Qian, M
Qin, WX
Zhu, S
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1998, 34 (07) : 941 - 951
[4] Unbounded one-dimensional global attractor for the damped sine-Gordon equation
Qian, M
Qin, WX
Wang, GX
Zhu, S
JOURNAL OF NONLINEAR SCIENCE, 2000, 10 (04) : 417 - 432
[5] Dimension of the global attractor for the damped and driven sine-Gordon equation
Zhu, S
Zhou, SF
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1999, 37 (03) : 389 - 399
[6] ZERO-DIMENSIONAL GLOBAL ATTRACTOR OF DAMPED SINE-GORDON EQUATION
秦文新
周盛凡
Acta Mathematicae Applicatae Sinica, 1998, (03) : 260 - 264
[7] Zero-dimensional global attractor of damped sine-gordon equation
Qin Wenxin
Zhou Shengfan
Acta Mathematicae Applicatae Sinica, 1998, 14 (3) : 260 - 264
[8] Dimension of the global attractor for discretization of damped Sine-Gordon equation
Zhou, SF
APPLIED MATHEMATICS LETTERS, 1999, 12 (01) : 95 - 100
[9] One-dimensional random attractor and rotation number of the stochastic damped sine-Gordon equation
Shen, Zhongwei
Zhou, Shengfan
Shen, Wenxian
JOURNAL OF DIFFERENTIAL EQUATIONS, 2010, 248 (06) : 1432 - 1457
[10] Dimension of the global attractor for the discretized damped sine-Gordon equation
Wang, GX
Zhu, S
APPLIED MATHEMATICS AND COMPUTATION, 2001, 117 (2-3) : 257 - 265

← 1 2 3 4 5 →