Global Random Attractors for the Stochastic Dissipative Zakharov Equations  

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

机构地区：[1]College of Science,Guangxi University of Science and Technology [2]Institute of Applied Physics and Computational Mathematics

出　　处：《Acta Mathematicae Applicatae Sinica》2014年第2期289-304,共16页应用数学学报（英文版）

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)

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.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.

关 键 词：stochastic dissipative Zakharov equations global random attractors Ornstein-Uhlenbeck process COMPACTNESS 

分 类 号：O211.63[理学—概率论与数理统计]