PDE 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
|Feb 6||Yao Yao (UCLA)||Kiselev|
|March 12||Xuan Hien Nguyen (Iowa State)||Angenent|
|March 19||Nestor Guillen (UCLA)||Feldman|
|March 26||Vlad Vicol (University of Chicago)||Kiselev|
|April 16||Jiahong Wu (Oklahoma)||Kiselev|
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)
Nestor Guillen (UCLA)
Vlad Vicol (University of Chicago)
Jiahong Wu (Oklahoma State)