云亭数学讲坛2024第78讲——艾尚兵教授

文章来源:太阳成tyc7111cc发布日期:2024-12-04浏览次数:10


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:20241268:00

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.



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