Fractal dimension of random attractors for non-autonomous fractional stochastic Ginzburg-Landau equations with multiplicative noise

被引：18
|
作者：
Lan, Yun [1 ]
Shu, Ji [1 ]
机构：
[1] Sichuan Normal Univ, Coll Math & Software Sci, Chengdu, Sichuan, Peoples R China
来源：
DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL | 2019年 / 34卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Non-autonomous stochastic fractional Ginzburg-Landau equation; random dynamical system; random attractor; multiplicative noise; fractal dimension; RANDOM DYNAMICAL-SYSTEMS; ASYMPTOTIC-BEHAVIOR; WELL-POSEDNESS; WAVE-EQUATION; EXISTENCE; DRIVEN; SUFFICIENT; SETS; WEAK;
D O I：
10.1080/14689367.2018.1523368
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper deals with the asymptotic behaviour of solutions for non-autonomous stochastic fractional Ginzburg-Landau equations driven by multiplicative noise with . We first present some conditions for bounding the fractal dimension of a random invariant set of non-autonomous random dynamical system. Then we derive uniform estimates of solutions and establish the existence and uniqueness of tempered pullback random attractors for the equations in . At last, we prove the finiteness of fractal dimension of random attractors.
引用
收藏
页码：274 / 300
页数：27
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