Linear and nonlinear marginal stability for fronts of hyperbolic reaction diffusion equations

被引：11

作者：

Benguria, RD ^{[1
]}

Depassier, MC ^{[1
]}

机构：

[1] Pontificia Univ Catolica Chile, Fac Fis, Santiago 22, Chile

来源：

PHYSICAL REVIEW E | 2002年 / 66卷 / 02期

关键词：

D O I：

10.1103/PhysRevE.66.026607

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

We study traveling fronts of equations of the form u(tt)+phi(u)u(x)=u(xx)+f(u). A criterion for the transition from linear to nonlinear marginal stability is established for positive functions phi(u) and for any reaction term f(u) for which the usual parabolic reaction diffusion equation u(t)=u(xx)+f(u) admits a front. As an application, we treat reaction diffusion systems with transport memory.

引用

页码：1 / 026607

页数：6

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