# 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