题目：Complete Classification of Traveling Wave Solutions to Monotone Dynamical Systems

报告人：萧冬远 助理教授（东北大学）

地点：致远楼101室

时间：2025年7月27日 星期日 10:00-11:00

Abstract: To study the propagation phenomena of solutions to the reaction-diffusion equation the asymptotic behavior of traveling wave solutions plays a crucial role. When the nonlinear reaction term satisfies the monostable condition, it is known that there exists a minimal traveling wave speed, and that traveling wave solutions exist for any speed c larger than or equal to the minimal speed. It has been shown, through simple phase plane analysis, that these traveling waves can be classified into three cases based on their decay rates.

Although such a classification is expected to be applicable to more complex order-preserving systems, such as nonlocal diffusion equations and the Lotka–Volterra model, a complete resolution has yet to be achieved due to the inapplicability of direct phase plane analysis. In this talk, I would like to introduce a method for classifying traveling waves in nonlocal diffusion equations and the Lotka–Volterra model. This research is based on joint work with Maolin Zhou (Nankai University) and Chang-hong Wu (National Yang Ming Chiao Tung University).

欢迎各位师生参加！