On the analysis of traveling waves to a nonlinear flux limited reaction-diffusion equation

被引：27
|
作者：
Campos, Juan [1 ]
Guerrero, Pilar [1 ]
Sanchez, Oscar [2 ]
Soler, Juan [2 ]
机构：
[1] Ctr Recerca Matemat, Barcelona 08193, Spain
[2] Univ Granada, Fac Ciencias, Dept Matemat Aplicada, E-18071 Granada, Spain
来源：
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE | 2013年 / 30卷 / 01期
关键词：
Flux limited; Relativistic heat equation; Singular traveling waves; Nonlinear reaction-diffusion; KPP; Traveling waves; Optimal mass transportation; Entropy solutions; Complex systems; Traffic flow; Biomathematics; PROPAGATION; DYNAMICS; SPEED; TRANSPORT; FRONTS; MODEL;
D O I：
10.1016/j.anihpc.2012.07.001
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we study the existence and qualitative properties of traveling waves associated with a nonlinear flux limited partial differential equation coupled to a Fisher-Kolmogorov-Petrovskii-Piskunov type reaction term. We prove the existence and uniqueness of finite speed moving fronts of C-2 classical regularity, but also the existence of discontinuous entropy traveling wave solutions. (C) 2012 Elsevier Masson SAS. All rights reserved.
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页码：141 / 155
页数：15
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