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

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:467

Article

Wang, Ren-Hu^1,2  Wang, Lei¹  Wang, Zhi-Cheng¹ 

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

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

关键词: Free boundary;    Nonlinear convection reaction diffusion equation;    Asymptotic behavior;    Spreading-vanishing dichotomy;   

DOI  :  10.1016/j.jmaa.2018.07.065

来源: Elsevier

【 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.

【 授权许可】

Free