Global Random Attractors for the Stochastic Dissipative Zakharov Equations

被引：4
|
作者：
Gu, Yan-feng [1 ,2 ]
Guo, Bo-ling [2 ]
Li, Dong-long [1 ]
机构：
[1] Guangxi Univ Sci & Technol, Coll Sci, Liuzhou 545006, Peoples R China
[2] Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China
来源：
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES | 2014年 / 30卷 / 02期
基金：
中国国家自然科学基金;
关键词：
stochastic dissipative Zakharov equations; global random attractors; Ornstein-Uhlenbeck process; compactness; SYSTEM;
D O I：
10.1007/s10255-014-0288-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The stochastic dissipative Zakharov equations with white noise are mainly investigated. The global random attractors endowed with usual topology for the stochastic dissipative Zakharov equations are obtained in the sense of usual norm. The method is to transform the stochastic equations into the corresponding partial differential equations with random coefficients by Ornstein-Uhlenbeck process. The crucial compactness of the global random attractors will be obtained by decomposition of solutions.
引用
收藏
页码：289 / 304
页数：16
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