活动地点：CMS 202

活动类型：学术报告

主讲人：徐霄乾博士

活动时间：2017-12-15 14:00:00--2017-12-15 15:00:00

活动内容：

徐霄乾博士专题学术报告

 

报告题目：Suppression of chemotactic explosion by mixing

 

报告人：徐霄乾 博士（Carnegie Mellon University）

 

时间：2017年12月15日（周五）下午2:00

 

地点：数学中心202教室

Abstract:

Chemotaxis plays a crucial role in a variety of processes in biology and 
ecology. One of the most studied PDE models of chemotaxis is given by 
Keller-Segel equation, which describes a population density of bacteria 
or mold which attract chemically to substance they secrete. However, 
solution of Keller-Segel equation can exhibit dramatic collapsing 
behavior. 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. 
Both classes are known as very efficient mixers. This is the joint work 
with Alexander Kiselev and Gautam Iyer.