GLOBAL DYNAMICS OF A REACTION-DIFFUSION SYSTEM

被引：0
|
作者：
You, Yuncheng [1 ]
机构：
[1] Univ S Florida, Dept Math & Stat, Tampa, FL 33620 USA
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2011年
基金：
美国国家科学基金会;
关键词：
Reaction-diffusion system; Brusselator; two-cell model; global attractor; absorbing set; asymptotic compactness; exponential attractor; STIRRED TANK REACTOR; GRAY-SCOTT MODEL; PATTERN-FORMATION; AUTOCATALYTIC REACTIONS; EVOLUTION-EQUATIONS; BRUSSELATOR SYSTEM; OSCILLATIONS; BIFURCATION; ATTRACTORS; ISOLAS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work the existence of a global attractor for the semiflow of weak solutions of a two-cell Brusselator system is proved. The method of grouping estimation is exploited to deal with the challenge in proving the absorbing property and the asymptotic compactness of this type of coupled reaction-diffusion systems with cubic autocatalytic nonlinearity and linear coupling. It is proved that the Hausdorff dimension and the fractal dimension of the global attractor are finite. Moreover, the existence of an exponential attractor for this solution semiflow is shown.
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页数：28
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