FASTNESS AND CONTINUOUS DEPENDENCE IN FRONT PROPAGATION IN FISHER-KPP EQUATIONS

被引：16

作者：

Arias, Margarita ^{[1
]}

Campos, Juan ^{[1
]}

Marcelli, Cristina ^{[2
]}

机构：

[1] Univ Granada, Dept Matemat Aplicada, E-18071 Granada, Spain

[2] Univ Politecn Marche, Dipartimento Sci Matemat, I-60131 Ancona, Italy

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2009年 / 11卷 / 01期

关键词：

reaction-diffusion equations; travelling wave solutions; wave speed; fast heteroclinic; continuous dependence; sharp solutions; degenerate diffusivity; REACTION-DIFFUSION EQUATIONS; TRAVELING-WAVE; DEGENERATE; GENETICS;

D O I：

10.3934/dcdsb.2009.11.11

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the continuous dependence of the minimal speed of propagation and the profile of the corresponding travelling wave solution of Fisher-type reaction-diffusion equations nu(t) = (D(nu)nu(x))(x) + f(nu) with respect to both the reaction term f and the diffusivity D. We also introduce and discuss the concept of fast heteroclinic in this context, which allows to interpret the appearance of sharp heteroclinic in the case of degenerate diffusivity (D(0) = 0).

引用

页码：11 / 30

页数：20