A Fisher-Kolmogorov equation with finite speed of propagation

被引：17

作者：

Andreu, F. ^{[1
]}

Caselles, V. ^{[2
]}

Mazon, J. M. ^{[1
]}

机构：

[1] Univ Valencia, Dept Anal Matemat, E-46100 Valencia, Spain

[2] Univ Pompeu Fabra, Dept Tecnol, Barcelona 08018, Spain

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2010年 / 248卷 / 10期

关键词：

Flux limited diffusion equations; Reaction-diffusion equations; Entropy solutions; Front propagation; REACTION-DIFFUSION SYSTEM; TRAVELING-WAVES;

D O I：

10.1016/j.jde.2010.01.005

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study a Fisher-Kolmogorov type equation with a flux limited diffusion term and we prove the existence and uniqueness of finite speed moving fronts and the existence of some explicit solutions in a particular regime of the equation. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：2528 / 2561

页数：34

共 35 条

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