Liquid crystal point defects in 2d: beyond the one-constant approximation
主 题: Liquid crystal point defects in 2d: beyond the one-constant approximation
报告人: Professor Arghir Zarnescu (Basque Center for Applied Mathematics)
时 间: 2016-06-20 15：00-16：00
地 点: 理科一号楼 1114
One of the specific features of the liquid crystal theories concern the modelling of spatial anisotropy. There are several types of terms that can model the spatial variations, in specific ways that correlate with the symmetry of the order parameter used. Most current mathematical studies concern the case when the spatial inhomogeneity is modelled through the simple Dirichlet-type energy. We focus here on the Landau-de Gennes model and present a number of mostly numerical investigations on the effect of having more complicated several elastic terms. We discover a whole zoo of solutions, radial and non-radial, that emerge from having additional elastic terms. This is joint work with Georgy Kitavtsev, Jonathan Robbins and Valeriy Slastikov (University of Bristol).