Travelling waves in the Fisher-KPP equation with nonlinear degenerate or singular diffusion

被引：0
|
作者：
Drabek, Pavel [1 ,2 ]
Takac, Peter [3 ]
机构：
[1] Univ West Bohemia, Dept Math, POB 314, Plzen 30614, Czech Republic
[2] Univ West Bohemia, NTIS Ctr New Technol Informat Soc, POB 314, Plzen 30614, Czech Republic
[3] Univ Rostock, Inst Math, Ulmenstr 69,Haus 3, D-18055 Rostock, Germany
来源：
APPLIED MATHEMATICS AND OPTIMIZATION | 2021年 / 84卷 / 02期
关键词：
Fisher-Kolmogoroff-Petrovsky-Piscounoff equation; Travelling wave; Degenerate and; or singular diffusion; Non-smooth reaction term; Existence and non-existence of travelling waves; An overdetermined first-order boundary value problem; SHARP PROFILES; MODELS;
D O I：
10.1007/s00245-020-09674-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider a one-dimensional reaction-diffusion equation of Fisher-Kolmogoroff-Petrovsky-Piscounoff type. We investigate the effect of the interaction between the nonlinear diffusion coefficient and the reaction term on the existence and non-existence of travelling waves. Our diffusion coefficient is allowed to be degenerate or singular at both equilibrium points, 0 and 1, while the reaction term need not be differentiable. These facts influence the existence and qualitative properties of travelling waves in a substantial way.
引用
收藏
页码：1185 / 1208
页数：24
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