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
下载
收藏
页码：274 / 300
页数：27
相关论文
共 50 条
  • [31] Asymptotic behaviour of non-autonomous discrete complex Ginzburg-Landau equations driven by nonlinear noise
    Zou, Aihong
    Zhang, Lu
    Yan, Tao
    Shu, Ji
    JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2021, 27 (07) : 947 - 965
  • [32] EXISTENCE AND UPPER SEMI-CONTINUITY OF RANDOM ATTRACTORS FOR NON-AUTONOMOUS STOCHASTIC PLATE EQUATIONS WITH MULTIPLICATIVE NOISE ON RN
    Ma, Qiaozhen
    Yao, Xiaobin
    Liu, Tingting
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2021, 11 (03): : 1422 - 1454
  • [33] ASYMPTOTIC BEHAVIOR OF STOCHASTIC COMPLEX GINZBURG-LANDAU EQUATIONS WITH DETERMINISTIC NON-AUTONOMOUS FORCING ON THIN DOMAINS
    Li, Dingshi
    Wang, Xiaohu
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2019, 24 (02): : 449 - 465
  • [34] STOCHASTIC DYNAMICS OF 2D FRACTIONAL GINZBURG-LANDAU EQUATION WITH MULTIPLICATIVE NOISE
    Lu, Shujuan
    Lu, Hong
    Feng, Zhaosheng
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2016, 21 (02): : 575 - 590
  • [35] Random attractors for non-autonomous stochastic wave equations with nonlinear damping and white noise
    Huazhen Yao
    Jianwen Zhang
    Advances in Difference Equations, 2020
  • [36] Random Attractors for Stochastic Ginzburg-Landau Equation on Unbounded Domains
    Lu, Qiuying
    Deng, Guifeng
    Zhang, Weipeng
    ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [37] Random attractors for non-autonomous stochastic wave equations with nonlinear damping and white noise
    Yao, Huazhen
    Zhang, Jianwen
    ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
  • [38] Random attractor of stochastic complex Ginzburg-Landau equation with multiplicative noise on unbounded domain
    Guo, Y. F.
    Li, D. L.
    STOCHASTIC ANALYSIS AND APPLICATIONS, 2017, 35 (03) : 409 - 422
  • [39] The asymptotic behavior of the stochastic Ginzburg-Landau equation with multiplicative noise
    Yang, DS
    JOURNAL OF MATHEMATICAL PHYSICS, 2004, 45 (11) : 4064 - 4076
  • [40] Global solution for a stochastic Ginzburg-Landau equation with multiplicative noise
    Barton-Smith, M
    STOCHASTIC ANALYSIS AND APPLICATIONS, 2004, 22 (01) : 1 - 18
12345