PDE Geometric Analysis seminar
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.
Xuan Hien Nguyen (Iowa State)
TBA
Nestor Guillen (UCLA)
TBA
Vlad Vicol (University of Chicago)
TBA
Jiahong Wu (Oklahoma State)
TBA