Global Random Attractors for the Stochastic Dissipative Zakharov Equations

作     者：Yan-feng GUO Bo-ling GUO Dong-long LI 

作者机构：College of ScienceGuangxi University of Science and Technology Institute of Applied Physics and Computational Mathematics 

出 版 物：《Acta Mathematicae Applicatae Sinica》 (应用数学学报（英文版）)

年 卷 期：2014年第30卷第2期

页      面：289-304页

核心收录：

学科分类：02[经济学] 0202[经济学-应用经济学] 020208[经济学-统计学] 07[理学] 0714[理学-统计学（可授理学、经济学学位）] 070103[理学-概率论与数理统计] 0701[理学-数学] 

基　　金：Supported by the National Natural Science Foundation of China(No.11061003,11301097) Guangxi Natural Science Foundation Grant(No.2013GXNSFAA019001) Guangxi Science Research Item(No.2013YB170) 

主　　题：stochastic dissipative Zakharov equations global random attractors Ornstein-Uhlenbeck process compactness 

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 wiil be obtained by decomposition of solutions.