Fractal dimension of random attractors for stochastic non-autonomous reaction-diffusion equations

被引：24
作者：
Zhou, Shengfan [1 ]
Tian, Yongxiao [1 ]
Wang, Zhaojuan [2 ]
机构：
[1] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China
[2] Huaiyin Normal Univ, Sch Math Sci, Huaian 223300, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2016年 / 276卷
基金：
浙江省自然科学基金; 中国国家自然科学基金;
关键词：
Stochastic reaction-diffusion equation; Random attractor; Multiplicative white noise; Fractal dimension; Random dynamical system; Additive white noise; MULTIPLICATIVE NOISE; LIMITING DYNAMICS; WAVE-EQUATIONS; SYSTEMS;
D O I：
10.1016/j.amc.2015.12.009
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we first give some conditions for bounding the fractal dimension of a random invariant set for a non-autonomous random dynamical system on a separable Banach space. Then we apply these conditions to prove the finiteness of fractal dimension of the random attractors for stochastic reaction-diffusion equations with multiplicative white noise and additive white noise. (C) 2015 Elsevier Inc. All rights reserved.
引用
收藏
页码：80 / 95
页数：16
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