Suppression of Chemotactic collapse through fluid-mixing and fast-splitting

Applied Math And Analysis Seminar

Siming He (Duke University)

Wednesday, March 27, 2019 -
12:00pm to 1:00pm
Location: 
Physics 119

The Patlak-Keller-Segel equations (PKS) are widely applied to model the chemotaxis phenomena in biology. It is well-known that if the total mass of the initial cell density is large enough, the PKS equations exhibit finite time blow-up. In this talk, I present some recent results on applying additional fluid flows to suppress chemotactic blow-up in the PKS equations. These are joint works with Jacob Bedrossian and Eitan Tadmor.

Last updated: 2019/04/23 - 6:13am