Finite fractal dimension of random attractor for stochastic non-autonomous strongly damped wave equation

被引：12
|
作者：
Wang, Zhaojuan [1 ]
Zhang, Lingping [1 ]
机构：
[1] Huaiyin Normal Univ, Sch Math Sci, Huaian 223300, Peoples R China
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2018年 / 75卷 / 09期
基金：
中国国家自然科学基金;
关键词：
Stochastic strongly damped wave equation; Random attractor; Fractal dimension; RANDOM DYNAMICAL-SYSTEMS; ASYMPTOTIC-BEHAVIOR; GLOBAL ATTRACTOR; WHITE-NOISE;
D O I：
10.1016/j.camwa.2018.02.002
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we first prove the existence of a random attractor for stochastic non autonomous strongly damped wave equations with additive white noise. Then we apply a criteria to obtain an upper bound of fractal dimension of the random attractor of considered system. (C) 2018 Elsevier Ltd. All rights reserved.
引用
收藏
页码：3343 / 3357
页数：15
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