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).