带乘性噪声的随机分数阶Ginzburg-Landau方程的渐近行为  

Asymptotic Behavior of the Stochastic Fractional Ginzburg-Landau Equation with Multiplicative Noise

作　　者：王云肖[1] 舒级[1] 杨袁[1] 李倩[1] 汪春江 WANG Yunxiao;SHU JI;YANG Yuan;LI Qian;WANG Chunjiang(College of Mathematics and Software Science,Sichuan Normal University,Chengdu 610066,Sichuan)

机构地区：[1]四川师范大学数学与软件科学学院,四川成都610066

出　　处：《四川师范大学学报（自然科学版）》2018年第5期591-595,共5页Journal of Sichuan Normal University（Natural Science）

基　　金：国家自然科学基金(11371267和11571245);四川省科技厅应用基础项目(2016JY0204)

摘　　要：考虑带乘性噪声的随机分数阶Ginzburg-Landau方程在L2(R)空间中的渐近性质.首先将随机偏微分方程转化为仅含随机参数的随机方程,然后对该方程的解进行先验估计,从而得到随机动力系统的紧性,最后证明了L2(R)中随机吸引子的存在性.In this paper,we consider the asymptotic dynamic for the fractional stochastic Ginzburg-Landau equation with multiplicative noise defined in L^2(R^2).Firstly,we transform the stochastic partial differential equation into the random equation that only contains the random parameter.Then,the compactness of the random dynamical system is established by a priori estimate for the solution,which shows the existence of a random attractor for the random dynamical system possesses in L^2(R^2).

关 键 词：随机分数阶Ginzburg-Landau方程 随机动力系统 随机吸引子 乘性噪声 

分 类 号：O175.2[理学—数学]