# PDE and Geometric Analysis Seminar

The seminar will be held in room B115 of Van Vleck Hall on Mondays from 3:30pm - 4:30pm, unless indicated otherwise.

## Seminar Schedule Spring 2012

date speaker title host(s)
Feb 6 Yao Yao (UCLA)
Degenerate diffusion with nonlocal aggregation: behavior of solutions

Kiselev
March 12 Xuan Hien Nguyen (Iowa State)
TBA

Angenent
March 19 Nestor Guillen (UCLA)
TBA

Feldman
March 26 Vlad Vicol (University of Chicago)
TBA

Kiselev
April 16 Jiahong Wu (Oklahoma)
TBA

Kiselev

## Abstracts

### Yao Yao (UCLA)

Degenerate diffusion with nonlocal aggregation: behavior of solutions

The Patlak-Keller-Segel (PKS) equation models the collective motion of cells which are attracted by a self-emitted chemical substance. While the global well-posedness and finite-time blow up criteria are well known, the asymptotic behaviors of solutions are not completely clear. In this talk I will present some results on the asymptotic behavior of solutions when there is global existence. The key tools used in the paper are maximum-principle type arguments as well as estimates on mass concentration of solutions. This is a joint work with Inwon Kim.

TBA

TBA

TBA

TBA