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# Siming He : Suppression of Chemotactic collapse through fluid-mixing and fast-splitting

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.

**Category**: Applied Math and Analysis**Duration**: 01:14:48**Date**: March 27, 2019 at 11:55 AM-
**Tags:**seminar, Applied Math And Analysis Seminar

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