Estimate of the travelling wave speed for an integro-differential equation

被引：7

作者：

Bessonov, N. ^{[1
]}

Beuter, A. ^{[2
,3
]}

Trofimchuk, S. ^{[4
]}

Volpert, V. ^{[5
,6
,7
,8
]}

机构：

[1] Russian Acad Sci, Inst Problems Mech Engn, St Petersburg 199178, Russia

[2] Bordeaux INP, Bordeaux, France

[3] Equipage Innovat SARL, Plerin, France

[4] Univ Talca, Inst Matemat & Fis, Casilla 747, Talca, Chile

[5] Univ Lyon 1, UMR CNRS 5208, Inst Camille Jordan, F-69622 Villeurbanne, France

[6] INRIA Lyon La Doua, INRIA Team Dracula, F-69603 Villeurbanne, France

[7] RUDN Univ, Peoples Friendship Univ Russia, 6 Miklukho Maklaya St, Moscow 117198, Russia

[8] UMI CNRS 2615, Poncelet Ctr, 11 Bolshoy Vlasyevskiy, Moscow 119002, Russia

来源：

APPLIED MATHEMATICS LETTERS | 2019年 / 88卷

关键词：

Nonlocal reaction-diffusion equation; Wave speed; Minimax representation; Estimates; DIFFUSION-EQUATIONS; PROPAGATION; FRONTS; UNIQUENESS; EXISTENCE; STABILITY;

D O I：

10.1016/j.aml.2018.07.037

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Travelling waves for nonlocal reaction-diffusion equations are studied. The minimax representation of the wave speed is obtained. It is used to obtain analytical estimates and asymptotic values of the speed. Two regimes of wave propagation are identified. One of them is dominated by diffusion and another one by the nonlocal interaction. (C) 2018 Elsevier Ltd. All rights reserved.

引用

页码：103 / 110

页数：8

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