Turing instability of anomalous reaction-anomalous diffusion systems

被引：8
作者：
Nec, Y. [1 ]
Nepomnyashchy, A. A. [1 ]
机构：
[1] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel
来源：
EUROPEAN JOURNAL OF APPLIED MATHEMATICS | 2008年 / 19卷
关键词：
D O I：
10.1017/S0956792508007389
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Linear stability theory is developed for an activator-inhibitor model where fractional derivative operators of generally different exponents act both on diffusion and reaction terms. It is shown that in the short wave limit the growth rate is a power law of the wave number with decoupled time scales for distinct anomaly exponents of the different species. With equal anomaly exponents an exact formula for the anomalous critical value of reactants diffusion coefficients' ratio is obtained.
引用
收藏
页码：329 / 349
页数：21
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