应学院邀请，阿拉巴马大学艾尚兵教授将在线为我校师生作学术报告。
报告题目：Traveling wave solutions for a Keller-Segel system with nonlinear chemical gradient
报告摘要：In this talk we present new results on the existence of traveling wave solutions for a generalized Keller-Segel system. The system incorporates the nonlinear gradient response of the cells to the chemical signal (describing the chemotactic effect) and nonlinear and non-monotone degradation rate of the chemical signal. Using the geometric singular perturbation theory and the phase plane analysis, we establish the existence of a family of traveling wave solutions of the system and obtain the explicit necessary and sufficient condition for the maximal wave speed equal to the positive infinity. We also obtain an upper bound of the wave speed so that if the wave speed is smaller than this bound, then the corresponding wave profile of the chemical is strictly decreasing.
报告时间：2024年12月6日上午8:00
报告地点：腾讯会议(会议号:168-984-196)
邀 请 人：伏升茂教授
报告人简介
Shangbing Ai is a professor at the University of Alabama in Huntsville. He received his bachelor’s and master’s degrees in mathematics from Shandong University and his Ph.D. in applied mathematics from the University of Pittsburgh. He did his postdoctoral work in the Center for Dynamical Systems and Nonlinear Studies at the Georgia Institute of Technology. His research works focus on the areas of differential equations and mathematical biology and have been published in the J. Differential Equations, Trans. Amer. Math. Soc., SIAM J. Appl. Math., SIAM. J. Math. Anal., J. Math. Biol., J. Dynam. Differential Equations, and some other mathematical journals.
甘肃省数学与统计学基础学科研究中心
数学与统计学院
