PULLBACK ATTRACTORS FOR MODIFIED SWIFT-HOHENBERG EQUATION ON UNBOUNDED DOMAINS WITH NON-AUTONOMOUS DETERMINISTIC AND STOCHASTIC FORCING TERMS

被引：8

作者：

Wang, Zhi ^{[1
]}

Du, Xianyun ^{[1
]}

机构：

[1] Chengdu Univ Informat Technol, Coll Appl Math, Chengdu 610225, Sichuan, Peoples R China

来源：

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2017年 / 7卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Swift-Hohenberg equation; random dynamical systems; continuous cocycle; pullback attractors; asymptotic compactness; REACTION-DIFFUSION EQUATIONS;

D O I：

10.11948/2017014

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the existence and uniqueness of pullback attractors for the modified Swift-Hohenberg equation defined on R-n driven by both deterministic non-autonomous forcing and additive white noise are established. We first define a continuous cocycle for the equation in L-2 (R-n), and we prove the existence of pullback absorbing sets and the pullback asymptotic compactness of solutions when the equation with exponential growth of the external force. The long time behaviors are discussed to explain the corresponding physical phenomenon.

引用

页码：207 / 223

页数：17

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