Speed selection for traveling waves of a reaction-diffusion-advection equation in a cylinder

被引：4
|
作者：
Huang, Zhe [1 ]
Ou, Chunhua [1 ]
机构：
[1] Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 5S7, Canada
来源：
PHYSICA D-NONLINEAR PHENOMENA | 2020年 / 402卷
基金：
加拿大自然科学与工程研究理事会;
关键词：
Traveling wave solutions; Speed selection; Upper and lower solutions method; FRONT PROPAGATION; MONOTONE SEMIFLOWS; CONVERGENCE; SPREAD;
D O I：
10.1016/j.physd.2019.132225
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with linear or nonlinear selection mechanism for the minimal speed of traveling wave solutions to a reaction-diffusion-advection equation in a cylindrical domain with Fisher-KPP-type nonlinearity. By using the method of upper and/or lower solutions, we establish the speed selection results. Precisely, we obtain sufficient conditions under which the linear or nonlinear selection is realized when the model is prescribed by Neumann boundary conditions and Dirichlet boundary conditions respectively. (C) 2019 Elsevier B.V. All rights reserved.
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页数：12
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