Spatial patterns for reaction-diffusion systems with conditions described by inclusions

被引：0

作者：

Eisner J. ^{[1
]}

Kučera M. ^{[1
]}

机构：

[1] Mathematical Institute, Acad. of Sci. of the Czech Republic, 11567 Praha 1

来源：

Applications of Mathematics | 1997年 / 42卷 / 6期

关键词：

Bifurcation; Inclusions; Reaction-diffusion systems; Spatial patterns; Stationary solutions; Variational inequalities;

D O I：

10.1023/A:1022203129542

中图分类号：

学科分类号：

摘要：

We consider a reaction-diffusion system of the activator-inhibitor type with boundary conditions given by inclusions. We show that there exists a bifurcation point at which stationary but spatially nonconstant solutions (spatial patterns) bifurcate from the branch of trivial solutions. This bifurcation point lies in the domain of stability of the trivial solution to the same system with Dirichlet and Neumann boundary conditions, where a bifurcation of this classical problem is excluded.

引用

页码：421 / 449

页数：28

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