Slow manifold for a nonlocal stochastic evolutionary system with fast and slow components

被引：5

作者：

Bai, Lu ^{[1
]}

Cheng, Xiujun ^{[1
]}

Duan, Jinqiao ^{[2
]}

Yang, Meihua ^{[1
]}

机构：

[1] Huazhong Univ Sci & Technol, Sch Math & Stat, Wuhan 430074, Hubei, Peoples R China

[2] Illinois Inst Technol, Dept Appl Math, Chicago, IL 60616 USA

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2017年 / 263卷 / 08期

关键词：

Nonlocal Laplacian operator; Random dynamical systems; Random invariant manifolds; Slow manifolds; Reduced system; INVARIANT-MANIFOLDS; EQUATIONS; THEOREM; FOLIATIONS;

D O I：

10.1016/j.jde.2017.06.003

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This work is devoted to investigating invariant manifolds for a fast slow stochastic evolutionary system with nonlocal diffusion. We establish the slow reduction via a random slow manifold, which captures slow dynamics of the original stochastic fast slow system. A simple example is shown to illustrate this slow reduction method. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：4870 / 4893

页数：24

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