数学学院学术报告

Analysis Seminar 2021-06-03

报告题目： Suppression of chemotactic explosion by mixing

报告人：徐霄乾（昆山杜克大学）

时间：2021-06-03 9：30-10：30

地点：沙河主楼  E 502

摘要：Keller-Segel equation is one of the most studied PDE models of processes involving chemical attraction. However, solution of Keller-Segel equation can exhibit dramatic collapsing behavior, where the population density of bacteria concentrates positive mass in a measure zero region. In other words, there exist initial data leading to finite time blow up. In this talk, we will discuss the possible effects resulting from interaction of chemotactic and fluid transport processes, namely we will consider the Keller-Segel equation with additional advection term modeling ambient fluid flow. We will prove that the presence of fluid can prevent the singularity formation. We will discuss several classes of flows that have the explosion arresting property.

报告人简介：徐霄乾，昆山杜克大学祖冲之数学与计算科学中心助理教授，主要从事非线性偏微分方程以及液体的混合问题的研究，在ARMA、J Nonlinear Sci、J Sci Comput 等一流数学期刊上发表学术论文十余篇。

邀请人：张安

欢迎大家参加！