GLOBAL ATTRACTOR FOR COUPLED TWO-COMPARTMENT GRAY-SCOTT EQUATIONS

Title & Authors
GLOBAL ATTRACTOR FOR COUPLED TWO-COMPARTMENT GRAY-SCOTT EQUATIONS
Zhao, Xiaopeng; Liu, Bo;

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 $\small{n{\leq}3}$. 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 $\small{H^k({\Omega})^4}$ ($\small{k{\geq}0}$) space.
Keywords
global attractor;two-compartment Gray-Scott equations;regularity estimates;
Language
English
Cited by
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