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科学研究
RESEARCH
Suppression of chemotactic explosion by mixing
时间  Datetime
2020-11-24 18:00 — 20:30
地点  Venue
Zoom APP(2)()
报告人  Speaker
Xu Xiaoqian
单位  Affiliation
Duke University (Kunshan)
邀请人  Host
杨雄锋
备注  remarks
会议时间: 2020年11月24日 18:00 会议时长: 2小时30分钟 会议号: 685 924 79808 会议密码:954793 主持密码: 529696 参会链接: https://zoom.com.cn/j/68592479808
报告摘要  Abstract

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.