## Speaker:

Changyou Wang

## Institution:

Purdue University

## Time:

Tuesday, February 2, 2016 - 3:00pm to 4:00pm

## Host:

## Location:

RH306

In this talk, I will discuss a simplified Ericksen-Leslie system modeling

the hydrodynamics of nematic liquid crystals, that is coupling between Navier-Stokes equations and harmonic map heat flows. I will describe some existence results of global weak solutions in dimensions two and three, and a finite time singularity result in dimension three. This is based on some joint works with Tao Huang, Junyu Lin, Fanghua Lin, and Chun Lin.