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Global attractor for coupled two-compartment Gray-Scott equations

Bo Liu|Xiaopeng Zhao
대한수학회 (The Korean Mathematical Society)|2013.01|대한수학회보 (Bulletin of the KMS)|제50권 제1호|pp. 143-159

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참고문헌

키워드

global attractortwo-compartment Gray-Scott equationsregularity estimates
주제분류수학

초록

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 do- main of space dimension n ≤ 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 Hk(Ω)4 (k≥0) space.

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 do- main of space dimension n ≤ 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 Hk(Ω)4 (k≥0) space.

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