Title: Analysis of liquid crystal flows in dimension two

Speaker: Prof. Changyou Wang (University of Kentucky)

Time: May 26, 2011, 3:30-4:30 pm

Venue: Room 1328 at BICMR, Resource Plaza, Peking University

Abstract: In this talk, I will describe a simplified incompressible, nematic liquid crystal flow equation, which is a coupling system between the incompressible Naiver-Stokes equation and the transported heat flow of harmonic maps into spheres. In dimension two, we establish the existence of unique global Leray-Hopf type weak solutions that are smooth away from at most finitely many singular times. This is a joint work with F.H. Lin and Junyu Lin.