The existence and non-existence of traveling waves of scalar reaction-diffusion-advection equation in unbounded cylinder

被引：0
作者：
Haixia Meng
机构：
[1] Lanzhou Jiaotong University Lanzhou,School of Mathematics and Physics
来源：
Computational Mathematics and Mathematical Physics | 2013年 / 53卷
关键词：
traveling waves; existence; non-existence; boundary conditions of mixed type; wave speed;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper is concerned with the existence and non-existence of traveling wave solutions of reaction-diffusion-advection equation with boundary conditions of mixed type in unbounded cylinder. By constructing new supper-sub solutions and applying monotone iteration method, we obtain existence of traveling wave solutions with wave velocity bigger than the “minimal speed”. For wave velocity smaller than the “minimal speed”, we find that traveling waves of exponential decay do not exist. Finally, we apply our results to KPP type nonlinearity.
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页码：1644 / 1652
页数：8
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