Analysis of variational model for nematic shells

23 May 2014
12:00
Dr. Antonio Segatti
Abstract
In this talk, I will introduce and analyse an elastic surface energy recently introduced by G. Napoli and L. Vergori to model thin films of nematic liquid crystals. As it will be clear, the topology and the geometry of the surface will play a fundamental role in understanding the behavior of thin films of liquid crystals. In particular, our results regards the existence of minimizers, the existence of the gradient flow of the energy and, in the case of an axisymmetric toroidal particle, a detailed characterization of global and local minimizers. This last item is supplemented with numerical experiments. This is a joint work with M. Snarski (Brown) and M. Veneroni (Pavia).
  • OxPDE Lunchtime Seminar