Fractal Dimension of Random Attractors for Non-autonomous Fractional Stochastic Ginzburg-Landau Equations

被引：8
|
作者：
Guo, Chun Xiao [1 ]
Shu, Ji [2 ,3 ]
Wang, Xiao Hu [4 ]
机构：
[1] China Univ Min & Technol Beijing, Dept Math, Beijing 100083, Peoples R China
[2] Sichuan Normal Univ, Sch Math Sci, Chengdu 610068, Peoples R China
[3] Sichuan Normal Univ, VC & VR Key Lab, Chengdu 610068, Peoples R China
[4] Sichuan Univ, Dept Math, Chengdu 610064, Peoples R China
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2020年 / 36卷 / 03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; additive noise; fractal dimension; LATTICE DYNAMICAL-SYSTEMS; WELL-POSEDNESS; SUFFICIENT; EXISTENCE; BEHAVIOR; DRIVEN; NOISE; SETS; WEAK;
D O I：
10.1007/s10114-020-8407-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper considers the dynamical behavior of solutions for non-autonomous stochastic fractional Ginzburg-Landau equations driven by additive noise with alpha epsilon (0,1). First, we give some conditions for bounding the fractal dimension of a random invariant set of non-autonomous random dynamical system. Second, we derive uniform estimates of solutions and establish the existence and uniqueness of tempered pullback random attractors for the equation in H. At last, we prove the finiteness of fractal dimension of random attractors.
引用
收藏
页码：318 / 336
页数：19
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