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http://dx.doi.org/10.4134/BKMS.2013.50.1.143

GLOBAL ATTRACTOR FOR COUPLED TWO-COMPARTMENT GRAY-SCOTT EQUATIONS  

Zhao, Xiaopeng (College of Mathematics Jilin University)
Liu, Bo (College of Mathematics Jilin University)
Publication Information
Bulletin of the Korean Mathematical Society / v.50, no.1, 2013 , pp. 143-159 More about this Journal
Abstract
This paper is concerned with the long time behavior for the solution semiflow of the coupled two-compartment Gray-Scott equations with the homogeneous Neumann boundary condition on a bounded domain of space dimension $n{\leq}3$. Based on the regularity estimates for the semigroups and the classical existence theorem of global attractors, we prove that the equations possesses a global attractor in $H^k({\Omega})^4$ ($k{\geq}0$) space.
Keywords
global attractor; two-compartment Gray-Scott equations; regularity estimates;
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