学术报告
题 目: Taxis-driven formation of hotspots in a PDE model for virus propagation
报 告 人:陶有山 教授 (邀请人:金春花 )
上海交通大学
时 间:2021-05-27 10:00--11:00
地 点:学院401
报告人简介:
陶有山,上海交通大学,教授。近几年主要从事趋化及交叉扩散模型解的定性理论研究,相关成果发表在JEMS、SIMA、Ann. Inst. H. Poincaré Anal. Non Linéaire、Math. Models Methods Appl. Sci. 等国际知名期刊,主持多项国家自然科学基金及省部级项目。
摘 要:
This talk deals with 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. This lecture is based on a joint work with Michael Winkler (Paderborn).