Random attractor for a damped sine-Gordon equation with white noise

被引：49

作者：

Fan, XM ^{[1
]}

机构：

[1] Sichuan Univ, Dept Math, Chengdu 610064, Peoples R China

[2] Univ Elect Sci & Technol China, Dept Appl Math, Chengdu 610054, Peoples R China

来源：

PACIFIC JOURNAL OF MATHEMATICS | 2004年 / 216卷 / 01期

关键词：

D O I：

10.2140/pjm.2004.216.63

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove the existence of a compact random attractor for the random dynamical system generated by a damped sine-Gordon with white noise. And we obtain a precise estimate of the upper bound of the Hausdoroff dimension of the random attractor, which decreases as the damping grows and shows that the dimension is uniformly bounded for the damping. In particular, under certain conditions, the dimension is zero.

引用

页码：63 / 76

页数：14

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