四川师范大学学报（自然科学版）2017，Vol.40Issue(2)：149-156,8.DOI:10.3969/j.issn.1001-8395.2017.02.002
带加性噪声的分数阶随机Ginzburg-Landau方程的渐近行为
Asymptotic Behavior of the 2D Generalized Fractional Stochastic Ginzburg-Landau Equation with Additive Noise
摘要
Abstract
In this paper,the asymptotic dynamic problem is considered for the fractional stochastic Ginzburg-Landau equation with additive noise defined in L2 (D).Firstly,the partial differential equation is trasformed into the random equation that only includes the random parameters.The compactness of the random dynamical system then is established by a priori estimation method.And finally,the existence of a random attractor for the random dynamical system is proved in L2 (D).关键词
随机分数阶Ginzburg-Landau方程/随机动力系统/随机吸引子/加性噪声Key words
stochastic fractional Ginzburg-Landau equation/random dynamical system/random attractor/additive noise分类
数理科学引用本文复制引用
王云肖,舒级,杨袁,李倩,汪春江..带加性噪声的分数阶随机Ginzburg-Landau方程的渐近行为[J].四川师范大学学报（自然科学版）,2017,40(2):149-156,8.基金项目
四川省科技厅应用基础计划项目(2016JY0204)和四川省教育厅自然科学重点科研基金(14ZA0031) （2016JY0204）
