DESTABILIZATION THRESHOLD CURVES FOR DIFFUSION SYSTEMS WITH EQUAL DIFFUSIVITY UNDER NON-DIAGONAL FLUX BOUNDARY CONDITIONS

被引：1
|
作者：
Sakamoto, Kunimochi [1 ]
机构：
[1] Hiroshima Univ, Grad Sch Sci, Dept Math & Life Sci, Higashihiroshima 7398526, Japan
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2016年 / 21卷 / 02期
关键词：
Stability; threshold; reaction-diffusion equations; non-diagonal boundary conditions;
D O I：
10.3934/dcdsb.2016.21.641
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This article deals with destabilizations of Turing type for diffusive systems with equal diffusivity under non-diagonal flux boundary conditions. Stability-instability threshold curves in the complex plane are described as the graph of a piecewise analytic function for simple m-dimensional domains (m >= 1). Also analyzed are effects caused by imposing homogeneous boundary conditions of Dirichlet or Neumann type on appropriate portions of the domain boundary.
引用
收藏
页码：641 / 654
页数：14
相关论文
共 39 条
1234