Bulletin of the Korean Mathematical Society (대한수학회보)

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GLOBAL ATTRACTOR FOR COUPLED TWO-COMPARTMENT GRAY-SCOTT EQUATIONS

  • Zhao, Xiaopeng (College of Mathematics Jilin University) ;
  • Liu, Bo (College of Mathematics Jilin University)
  • Received : 2011.07.03
  • Published : 2013.01.31
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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.

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Acknowledgement

Supported by : Jilin University

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