Curved fronts of bistable reaction–diffusion equations with nonlinear convection

Advances in Difference Equations

article

Niu, Hui-Ling¹  Liu, Jiayin¹ 

[1] School of Mathematics and Information Science, North Minzu University

关键词: Traveling curved front;    Reaction–diffusion equation;    Nonlinear convection;    Bistable nonlinearity;    Stability;   

DOI  :  10.1186/s13662-020-02916-2

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

This paper is concerned with traveling curved fronts of bistable reaction–diffusion equations with nonlinear convection in a two-dimensional space. By constructing super- and subsolutions, we establish the existence of traveling curved fronts. Furthermore, we show that the traveling curved front is globally asymptotically stable.

【 授权许可】

CC BY