报告题目： Critical blow-up exponents in a chemotaxis system with indirect signal production
报 告 人：陶有山教授 上海交通大学
报告时间：2023年6月27日 14:00-15:00
报告地点：腾讯会议 ID：224-560-400
或点击链接直接加入会议：https://meeting.tencent.com/dm/0nTBt5hzRC6Y
校内联系人：刘长春 liucc@jlu.edu.cn
报告摘要：This talk addresses an initial-boundary problem for a quasilinear chemotaxis system with indirect attractant 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，上海交通大学数学科学学院教授， 博士生导师。曾多次在美国俄亥俄州立大学、日本东京大学进行学术访问。研究方向为偏微分方程、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。主持国家基金及省部级项目10余项。现担任2份国际SCI期刊Nonlinear Analysis: Real World Applications 和EMS Surveys in Mathematical Sciences 的编委。
