APPROXIMATION OF RANDOM INVARIANT MANIFOLDS FOR A STOCHASTIC SWIFT-HOHENBERG EQUATION

被引：8

作者：

Guo, Yanfeng ^{[1
]}

Duan, Jinqiao ^{[2
]}

Li, Donglong ^{[1
]}

机构：

[1] Guangxi Univ Sci & Technol, Sch Sci, Liuzhou 545006, Guangxi, Peoples R China

[2] IIT, Dept Appl Math, Chicago, IL 60616 USA

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2016年 / 9卷 / 06期

关键词：

Stochastic partial differential equations; random invariant manifolds; approximation of invariant manifolds; stochastic transformation; Lyaponov-Perron method; HYDRODYNAMIC FLUCTUATIONS; SYSTEMS;

D O I：

10.3934/dcdss.2016071

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Random invariant manifolds are considered for a stochastic Swift-Hohenberg equation with multiplicative noise in the Stratonovich sense. Using a stochastic transformation and a technique of cut-off function, existence of random invariant manifolds and attracting property of the corresponding random dynamical system are obtained by Lyaponov-Perron method. Then in the sense of large probability, an approximation of invariant manifolds has been investigated and this is further used to describe the geometric shape of the invariant manifolds.

引用

页码：1701 / 1715

页数：15

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