| Abstract: |
| 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. |
|