Hongyan Li, Junyi Tu
Abstract:
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.
Show me the PDF file (306 KB), TEX file, and other files for this article.
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 |
Return to the EJDE web page