Random Attractors of Stochastic Three-Component Reversible Gray-Scott System on Unbounded Domains

Random Attractors of Stochastic Three-Component Reversible Gray-Scott System on Unbounded Domains

The existence of a pullback random attractor is established for a stochastic three-component reversible Gray-Scott system on unbounded domains. The Gray-Scott system is recast as a random dynamical system and asymptotic compactness which is illustrated by using uniform, a priori estimates for far-f...

Full description

Bibliographic Details
Main Author: Anhui Gu
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/419472
id doaj-6861a0700b484d7ca0e5414833195986
record_format Article
spelling doaj-6861a0700b484d7ca0e54148331959862020-11-24T21:00:35ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/419472419472Random Attractors of Stochastic Three-Component Reversible Gray-Scott System on Unbounded DomainsAnhui Gu0College of Science, Guilin University of Technology, Guangxi, Guilin 541004, ChinaThe existence of a pullback random attractor is established for a stochastic three-component reversible Gray-Scott system on unbounded domains. The Gray-Scott system is recast as a random dynamical system and asymptotic compactness which is illustrated by using uniform, a priori estimates for far-field values of solutions and a cutoff technique.http://dx.doi.org/10.1155/2012/419472
collection DOAJ
language English
format Article
sources DOAJ
author Anhui Gu
spellingShingle Anhui Gu
Random Attractors of Stochastic Three-Component Reversible Gray-Scott System on Unbounded Domains
Abstract and Applied Analysis
author_facet Anhui Gu
author_sort Anhui Gu
title Random Attractors of Stochastic Three-Component Reversible Gray-Scott System on Unbounded Domains
title_short Random Attractors of Stochastic Three-Component Reversible Gray-Scott System on Unbounded Domains
title_full Random Attractors of Stochastic Three-Component Reversible Gray-Scott System on Unbounded Domains
title_fullStr Random Attractors of Stochastic Three-Component Reversible Gray-Scott System on Unbounded Domains
title_full_unstemmed Random Attractors of Stochastic Three-Component Reversible Gray-Scott System on Unbounded Domains
title_sort random attractors of stochastic three-component reversible gray-scott system on unbounded domains
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2012-01-01
description The existence of a pullback random attractor is established for a stochastic three-component reversible Gray-Scott system on unbounded domains. The Gray-Scott system is recast as a random dynamical system and asymptotic compactness which is illustrated by using uniform, a priori estimates for far-field values of solutions and a cutoff technique.
url http://dx.doi.org/10.1155/2012/419472
work_keys_str_mv AT anhuigu randomattractorsofstochasticthreecomponentreversiblegrayscottsystemonunboundeddomains
_version_ 1716779270194331648

Similar Items