AXISYMMETRIC TRAVELING FRONTS IN BALANCED BISTABLE REACTION-DIFFUSION EQUATIONS

被引：9

作者：

Taniguchi, Masaharu ^{[1
]}

机构：

[1] Okayama Univ, Res Inst Interdisciplinary Sci, Kita Ku, 3-1-1 Tsushimanaka, Okayama 7008530, Japan

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2020年 / 40卷 / 06期

关键词：

Traveling front; reaction-diffusion equation; axisymmetric; balanced; CURVED FRONTS; GLOBAL STABILITY; PYRAMIDAL SHAPES; WAVE SOLUTIONS; INTERFACES; EXISTENCE;

D O I：

10.3934/dcds.2020126

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For a balanced bistable reaction-diffusion equation, the existence of axisymmetric traveling fronts has been studied by Chen, Guo, Ninomiya, Hamel and Roquejoffre [4]. This paper gives another proof of the existence of axisymmetric traveling fronts. Our method is as follows. We use pyramidal traveling fronts for unbalanced reaction-diffusion equations, and take the balanced limit. Then we obtain axisymmetric traveling fronts in a balanced bistable reaction-diffusion equation. Since pyramidal traveling fronts have been studied in many equations or systems, our method might be applicable to study axisymmetric traveling fronts in these equations or systems.

引用

页码：3981 / 3995

页数：15

共 26 条

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