IMI Interdisciplinary Mathematics InstituteCollege of Arts and Sciences

Poiseuille flow of nematic liquid crystals via Ericksen-Leslie model

  • March 29, 2019
  • 2:30 p.m.
  • LeConte 317R

Abstract

In this talk, we will discuss a recent global existence result on the Poiseulle flow of nematic liquid crystals via full Ericksen-Leslie model. The existing results on the Ericksen-Leslie model for the liquid crystals mainly focused on the parabolic and elliptic type models by omitting the kinetic energy term. In this recent progress, we established a new method to study the full model. A singularity formation result will also be discussed, together with the global existence result showing that the solution will in general live in the Holder continuous space. The earlier related result on the stability of variational wave equation using the optimal transport method will also be discussed. The talk includes two joint works with Tao Huang & Weishi liu and Alberto Bressan, respectively.

© Interdisciplinary Mathematics Institute | The University of South Carolina Board of Trustees | Webmaster
USC