# Analysis Seminar

#### Well-Posedness of the Nematic Liquid Crystal Flow in $$L3_{uloc}(R3)$$

Speaker: Wang Changyou, University of Kentucky

Location: Warren Weaver Hall 1302

Date: Thursday, October 25, 2012, 11 a.m.

Synopsis:

In this talk, I will consider a simplified Ericksen-Leslie system modeling the incompressible nematic liquid crystal flow. For any initial data $$(u_0,d_0)$$, with $$(u_0,\nabla d_0)$$ belonging to $$L3_{uloc}(R3)$$ -- the space of uniformly locally $$L3$$-integrable functions, we will show the local well-posedness provided that the $$L3_{uloc}(R3)$$-norm of $$(u_0,\nabla d_0)$$ is small. A characterization of the first singular time for such a solution will also be given. This is a joint work with Jay Hineman.