报告题目：Critical blow-up exponents in a chemotaxis system with indirect signal production

报告简介：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：陶有山，上海交通大学数学科学学院教授、博士生导师。

报告时间：2023年5月27日（星期六）上午10:00-11:00

报告地点：扬州大学瘦西湖校区 56 号楼 617

主办单位：扬州大学数学科学学院