A Stochastic Weakly Damped, Forced KdV-BO Equation

被引：0

作者：

Wang, Guolian ^{[1
]}

机构：

[1] Tongji Univ, Dept Math, Shanghai 200092, Peoples R China

来源：

ABSTRACT AND APPLIED ANALYSIS | 2014年

基金：

中国国家自然科学基金;

关键词：

WELL-POSEDNESS;

D O I：

10.1155/2014/576087

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the long time behavior of the damped, forced KdV-BO equation driven by white noise. We first show that the global solution generates a random dynamical system. By energy type estimates and dispersive properties, we then prove that this system possesses a weak random attractor in the space H-1(R).

引用

页数：8

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