CONCEPTUAL ANALYSIS AND RANDOM ATTRACTOR FOR DISSIPATIVE RANDOM DYNAMICAL SYSTEMS

作     者：黎育红 Zdzistaw Brze■niak 周建中 

作者机构：College of Water Resource and Hydropower Wuhan University Department of Mathematics University of YorkHeslington School of Hydropower and Information Engineering Huazhong University of Science and Technology 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报（B辑英文版）)

年 卷 期：2008年第28卷第2期

页      面：253-268页

核心收录：

学科分类：0711[理学-系统科学] 07[理学] 070104[理学-应用数学] 0701[理学-数学] 071101[理学-系统理论] 

基　　金：the National NSFC under grant No.50579022 the Foundation of Pre-973 Program of China under grant No.2004CCA02500 the SRF for the ROCS,SEM the Talent Recruitment Foundation of HUST 

主　　题：Random dynamical systems asymptotic compactness dissipativity Random attractor Sobolev compact embedding 

摘      要：The aim of this work is to understand better the long time behaviour of asymptotically compact random dynamical systems （RDS）, which can be generated by solutions of some stochastic partial differential equations on unbounded domains. The conceptual analysis for the long time behavior of RDS will be done through some examples. An application of those analysis will be demonstrated through the proof of the existence of random attractors for asymptotically compact dissipative RDS.