Event Type:

Analysis Seminar

Date/Time:

Monday, May 13, 2019 - 12:00 to 12:50

Location:

Weniger 285

Local Speaker:

Abstract:

The Keller-Segel system models chemotaxis, the motion of cells in response to a chemical signal. We consider a special case of the 2D Keller-Segel system that includes a drift-diffusion equation for the cell density. After defining a weak (integrable) solution to the system, we present a result of Blanchet, Dolbeault, and Perthame showing that for initial mass sufficiently large, there exists a finite critical time at which the solution ceases to be integrable.