Electron. J. Diff. Equ., Vol. 2015 (2015), No. 263, pp. 1-25.

Random attractors for stochastic lattice reversible Gray-Scott systems with additive noise

Hongyan Li, Junyi Tu

In this article, we prove the existence of a random attractor of the stochastic three-component reversible Gray-Scott system on infinite lattice with additive noise. We use a transformation of addition involved with Ornstein-Uhlenbeck process, for proving the pullback absorbing property and the pullback asymptotic compactness of the reaction diffusion system with cubic nonlinearity.

Submitted July 25, 2014. Published October 8, 2015.
Math Subject Classifications: 37H10, 35B40, 35B41.
Key Words: Random attractor; additive white noise; stochastic reversible Gray-Scott system.

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Hongyan Li
College of Management
Shanghai University of Engineering Science
Shanghai 201620, China
email: hongyanlishu@163.com
Junyi Tu
Department of Mathematics and Statistics
University of South Florida
Tampa, FL 33620, USA
email: junyi@mail.usf.edu

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