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Department of Mathematics,
University of California San Diego

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Math 248 - Real Analysis Seminar

Siming He

Duke University

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

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.

Host: Andrej Zlatos

May 9, 2019

11:00 AM

AP&M 7321

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