报告题目: Chemotaxis and cross-diffusion models in complex environments

报告人：陶有山 教授 上海交通大学

邀请人：李善兵副教授

报告时间：2021年12月07日（周二）15：00-16：00

报告地点：腾讯会议:147-642-282

报告人简介：陶有山，上海交通大学数学科学学院特聘教授。曾先后于南京大学、复旦大学、苏州大学分别获得理学学士、硕士和博士学位。主要研究方向为偏微分方程，特别是趋化交叉扩散方程，已在JEMS, PLMS, JFA, ANIHPC, SIMA, SIAP, Inverse Problems等国际数学或应用数学期刊上发表论文90余篇，MR引用3100余次；2018-2021年连续四年入选科睿唯安“全球高被引科学家”；现担任2份国际期刊Nonlinear Analysis: Real World Applications和EMS Surveys in Mathematical Sciences的编委。

报告摘要：This talk firstly reports a recent joint work with Michael Winkler (Paderborn), and it concerns a three-component chemotaxis model which accounts for spatially heterogeneous dynamics of viral infection. In contrast to the classical Keller-Segel type systems, the considered attractant is produced in an inherently nonlinear mechanism. We develop an approach capable of detecting taxis-driven blow-up in this complex model, as known virus hotspot formation phenomena observed in biological experiments. Moreover, this lecture also briefly introduces a full cross-diffusion system describing the pursuit-evasion interaction between predators and preys, as well as a doubly degenerate nutrient taxis system to model the formation of various morphological aggregation patterns observed in colonies of Bacillus subtilis growing on the surface of thin agar plates.

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