CURVED FRONTS OF MONOSTABLE REACTION-ADVECTION-DIFFUSION EQUATIONS IN SPACE-TIME PERIODIC MEDIA

被引：23

作者：

Bu, Zhen-Hui ^{[1
]}

Wang, Zhi-Cheng ^{[1
]}

机构：

[1] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2016年 / 15卷 / 01期

关键词：

Curved fronts; reaction-advection-diffusion equations; minimal speed; space-time periodic; PYRAMIDAL TRAVELING FRONTS; FISHER-KPP EQUATION; QUALITATIVE PROPERTIES; GLOBAL STABILITY; EXISTENCE; PROPAGATION; UNIQUENESS; SHAPES; WAVES; MODEL;

D O I：

10.3934/cpaa.2016.15.139

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is to study traveling fronts of reaction-diffusion equations with space-time periodic advection and nonlinearity in R-N with N >= 3. We are interested in curved fronts satisfying some "pyramidal" conditions at infinity. In R-3, we first show that there is a minimal speed c* such that curved fronts with speed c exist if and only if c >= c*, and then we prove that such curved fronts are decreasing in the direction of propagation. Furthermore, we give a generalization of our results in R-N with N >= 4.

引用

页码：139 / 160

页数：22

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