Free boundary problem of a reaction-diffusion equation with nonlinear convection term

被引：7

作者：

Wang, Ren-Hu ^{[1
,2
]}

Wang, Lei ^{[1
]}

Wang, Zhi-Cheng ^{[1
]}

机构：

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

[2] Hexi Univ, Sch Math & Stat, Zhangye 734000, Gansu, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2018年 / 467卷 / 02期

关键词：

Free boundary; Nonlinear convection reaction diffusion equation; Asymptotic behavior; Spreading-vanishing dichotomy; PREY-PREDATOR MODEL; TIME-PERIODIC ENVIRONMENT; SIGN-CHANGING COEFFICIENT; LOGISTIC MODEL; SPREADING SPEED; HETEROGENEOUS ENVIRONMENT; COMPETITION SYSTEM; ADVECTION; DYNAMICS; BEHAVIOR;

D O I：

10.1016/j.jmaa.2018.07.065

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the free boundary problem of a reaction diffusion equation with nonlinear convection term in one dimensional space. Our study contains three parts: in the first part we establish the existence and uniqueness of global solution, in the second part we obtain the spreading- vanishing dichotomy, and in third part, we obtain some estimations of the asymptotic speed of free boundaries when spreading happens. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：1233 / 1257

页数：25

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