RANDOM PULLBACK ATTRACTOR FOR A NON-AUTONOMOUS MODIFIED SWIFT-HOHENBERG EQUATION WITH MULTIPLICATIVE NOISE

被引：2

作者：

Li, Yongjun ^{[1
]}

Wei, Jinying ^{[1
]}

Lu, Zhengzhi ^{[1
]}

机构：

[1] Lanzhou City Univ, Sch Math, 11 Jiefang Rd, Lanzhou 730070, Peoples R China

来源：

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2021年 / 11卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Swift-Hohenberg equation; random D-pullback attractor; non-autonomous random dynamical system; REACTION-DIFFUSION EQUATIONS; RANDOM DYNAMICAL-SYSTEMS; EXISTENCE;

D O I：

10.11948/20200065

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study long time behavior of a non-autonomous stochastic modified Swift-Hohenberg equation with multiplicative noise in stratonovich sense. We show that a random D-pullback attractor exists in H-0(2) for the corresponding non-autonomous random dynamical system. Due to the stochastic term, the estimates are delicate, the Ornstein-Uhlenbeck(O-U) transformation and its properties are used to overcome the difficulty that the stochastic term brings to us.

引用

页码：464 / 476

页数：13

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