Dynamics of a reaction-diffusion system of autocatalytic chemical reaction

被引：0

作者：

Jiang, Jifa ^{[1
]}

Shi, Junping ^{[2
]}

机构：

[1] Tongji Univ, Dept Math, Shanghai 200092, Peoples R China

[2] Coll William & Mary, Dept Math, Williamsburg, VA 23187 USA

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2008年 / 21卷 / 01期

关键词：

autocatalytic chemical reaction; asymptotic autonomous system; convergence to equilibrium;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The precise dynamics of a reaction-diffusion model of autocatalytic chemical reaction is described. It is shown that exactly either one, two, or three steady states exists, and the solution of dynamical problem always approaches to one of steady states in the long run. Moreover it is shown that a global codimension one manifold separates the basins of attraction of the two stable steady states. Analytic ingredients include exact multiplicity of semilinear elliptic equation, the theory of monotone dynamical systems and the theory of asymptotically autonomous dynamical systems.

引用

页码：245 / 258

页数：14

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