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.
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页码：1233 / 1257
页数：25
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