Depinning transitions in discrete reaction-diffusion equations

被引：43

作者：

Carpio, A ^{[1
]}

Bonilla, LL

机构：

[1] Univ Complutense Madrid, Dept Matemat Aplicada, E-28040 Madrid, Spain

[2] Univ Carlos III Madrid, Escuela Politecn Super, Dept Matemat, Leganes 28911, Spain

[3] CSIC, Inst Ciencia Mat Madrid, Unidad Asociada, Canto Blanco 28049, Spain

来源：

SIAM JOURNAL ON APPLIED MATHEMATICS | 2003年 / 63卷 / 03期

关键词：

discrete reaction-diffusion equations; traveling wave fronts; propagation failure; wave front depinning;

D O I：

10.1137/S003613990239006X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider spatially discrete bistable reaction-diffusion equations that admit wave front solutions. Depending on the parameters involved, such wave fronts appear to be pinned or to glide at a certain speed. We study the transition of traveling waves to steady solutions near threshold and give conditions for front pinning (propagation failure). The critical parameter values are characterized at the depinning transition, and an approximation for the front speed just beyond threshold is given.

引用

页码：1056 / 1082

页数：27

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