Unbounded One-Dimensional Global Attractor for the Damped Sine-Gordon Equation

被引：0

作者：

M. Qian

W.-X. Qin

G.-X. Wang

S. Zhu

机构：

[1] School of Mathematical Sciences,

[2] Peking University,undefined

[3] Beijing 100871,undefined

[4] People's Republic of China,undefined

来源：

Journal of Nonlinear Science | 2000年 / 10卷

关键词：

Key words. sine-Gordon equation, global attractor;

D O I：

暂无

中图分类号：

学科分类号：

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：15

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