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

被引：11

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

页码：3343 / 3357

页数：15

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