Diffusive and inviscid traveling waves of the Fisher equation and nonuniqueness of wave speed

被引：9
作者：
Hilhorst, Danielle [1 ,2 ]
Kim, Yong-Jung [3 ,4 ]
机构：
[1] Univ Paris Saclay, Univ Paris 11, CNRS, F-91405 Orsay, France
[2] Univ Paris Saclay, Univ Paris 11, Math Lab, F-91405 Orsay, France
[3] Korea Adv Inst Sci & Technol, Dept Math Sci, Daejeon 305701, South Korea
[4] Natl Inst Math Sci, 70 Yuseong Daero, Daejeon 305811, South Korea
来源：
APPLIED MATHEMATICS LETTERS | 2016年 / 60卷
关键词：
Fisher equation; Minimum wave speed; Inviscid traveling waves; PROPAGATION; LIMIT;
D O I：
10.1016/j.aml.2016.03.022
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we present an intuitive explanation for the non-uniqueness of the traveling wave speed in the Fisher equation, showing a similar non-uniqueness property in the case of inviscid traveling waves. More precisely, we prove that traveling waves of the Fisher equation with wave speed c > 0 converge to the inviscid traveling wave with speed. c > 0 as the diffusion vanishes. A complete diagram that shows the relation between the diffusive and inviscid traveling waves is given in this paper. (c) 2016 Elsevier Ltd. All rights reserved.
引用
收藏
页码：28 / 35
页数：8
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