太阳成集团tyc7111cc学术报告

--- 分析与偏微分方程讨论班(2023秋季第17讲)

Critical blow-up exponents in a chemotaxis system with phenotypical heterogeneity

陶有山  （上海交通大学）

时间：11月16日（周四）下午2:00-3:00

地点：#腾讯会议：558-562-401

#会议链接：https://meeting.tencent.com/dm/QVDxvHSzN0cP

摘要: This talk discusses an initial-boundary problem for a quasilinear chemotaxis system with indirect signal production, as arising in the modeling of effects due to phenotypical heterogeneity in microbial populations. Under the assumption that the rates D and S of diffusion and cross-diffusion are suitably regular functions of the population density, essentially exhibiting asymptotically algebraic behavior at large densities.  A critical line in low-dimensional cases and two critical lines in higher-dimensional cases concerning the exponents of D and S for the occurrence of blow-up were found. This is a recent joint work with Prof. Michael Winkler (Paderborn).

报告人简介：陶有山，上海交通大学太阳成集团tyc7111cc特聘教授，博士生导师，曾多次在美国俄亥俄州立大学和日本东京大学进行学术访问，研究方向为偏微分方程和生物数学。近几年主要研究来自于生物过程的趋化模型，在JEMS、SIAM、 Ann. Inst. H. Poincaré Anal. Non Linéaire、Math. Models Methods Appl. Sci.、J. Nonlinear Sci.、Inverse Problems、JMB、Nonlinearity、JDE等国际知名数学发表期刊论文100多篇，MR引用4000多次，10余篇论文入选ESI高被引论文。2018-2022年连续5年入选科睿唯安“全球高被引科学家”。现担任2份国际SCI期刊Nonlinear Analysis: Real World Applications 和EMS Surveys in Mathematical Sciences 的编委。主持国家基金及省部级项目10余项。

邀请人：郑孝信

欢迎大家参加！