Wave solutions to reaction-diffusion systems in perforated domains

被引：0
|
作者：
Heinze, S [1 ]
机构：
[1] Max Planck Inst Math Nat Wiss, D-04103 Leipzig, Germany
来源：
ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN | 2001年 / 20卷 / 03期
关键词：
reaction-diffusion equations; front propagation; homogenization;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Traveling waves in periodically perforated domains are shown to exist for large classes of reaction-diffusion systems, provided the homogenized equation admits a non-degenerate traveling wave. This can be applied e.g. to a single equation with bistable non-linearity and to bistable monotone systems. The proof uses the implicit function theorem of a suitably transformed problem in the space H-1. Furthermore, corrector-type estimates are given for the wave profile and the wave velocity.
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页码：661 / 676
页数：16
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