Random Attractors for the Dissipative Hamiltonian Amplitude Equation Governing Modulated Wave Instabilities with Additive Noise
Random Attractors for the Dissipative Hamiltonian Amplitude Equation Governing Modulated Wave Instabilities with Additive Noise作者机构：School of Mathematics and Statistics Southwest University Chongqing China
出 版 物：《Journal of Applied Mathematics and Physics》 (应用数学与应用物理（英文）)
年 卷 期：2013年第1卷第3期
页 面：37-46页
学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学]
主 题：Random Dynamical System Random Attractor Hamiltonian Amplitude Equation
摘 要：In this paper, we study the random dynamical system (RDS) generated by the dissipative Hamiltonian amplitude equation with additive noise defined on the periodic boundaries. We investigate the existence of a compact random attractor for the RDS associated with the equation through introducing two functions and one process in E0=H1×L2. The compactness of the RDS is established by the decomposition of solution semigroup.
维普期刊数据库