Speaker: 

Changyou Wang, University of Kentucky

Title: 

Hydrodynamic flow of nematic liquid crystals in dimension two

Abstract: In this talk, I will discuss a simplified Ericksen-Leslie
system modeling the flow of nematic liquid crystals, which is a nonliner
coupling between the Navier-Stokes equation and the transported heat flow
of harmonic maps into $S^2$. We prove the existence of a global weak
solution to the system that is smooth away from finitely many singular
times. Asymptotic behaviors near singular times and time infinity are
obtained. This is a joint work with Fanghua Lin and Junyu Lin.