Abstract

Finite time singularity of the nematic liquid crystal flow in dimension three

Tao Huang
NYU-ECNU Institute of Mathematical Sciences at NYU Shanghai

In this talk, we will discuss two examples of finite time singularity for a simplified nematic liquid crystal flows in dimension three. The first example is constructed within the class of axisymmetric solutions, while the second example is constructed for any generic initial data $(u_0,d_0)$ that has sufficiently small energy, and $d_0$ has a nontrivial topology.