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Random Attractors of Stochastic Three-Component Reversible Gray-Scott System on Unbounded Domains
Author(s) -
Anhui Gu
Publication year - 2012
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2012/419472
Subject(s) - mathematics , attractor , compact space , pullback , random field , a priori and a posteriori , component (thermodynamics) , gray (unit) , dynamical systems theory , cutoff , pullback attractor , statistical physics , mathematical analysis , pure mathematics , statistics , medicine , philosophy , physics , epistemology , radiology , quantum mechanics , thermodynamics
The existence of a pullback random attractor is established for astochastic three-component reversible Gray-Scott system on unbounded domains. The Gray-Scott system is recast as a random dynamical system andasymptotic compactness which is illustrated by using uniform, a priori estimatesfor far-field values of solutions and a cutoff technique

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