报告题目：Topological defects in two-dimensional liquid crystals confined by a box

报告人：北京师范大学    张辉教授

报告时间：2019年04月04日  14:30-17:30

报告地点：数学馆金融实验室

报告摘要：When a spatially uniform system that displays a liquid-crystal ordering on a two-dimensional surface is confined inside a rectangular box, the liquid crystal direction field develops inhomogeneous textures accompanied by topological defects because of the geometric frustrations. We show that the rich variety of nematic textures and defect patterns found in recent  experimental and theoretical studies can be classified by the solutions of the rather fundamental, extended Onsager model. This is critically examined based on the determined free-energies of different defect states, as functions of a few relevant, dimensionless geometric parameters.

报告人简介：张辉，北京师范大学特聘教授,享受国务院特殊津贴专家。现担任北京师范大学数学与数学教育研究所所长兼副院长。2001年博士学习于中国科学院数学与系统科学研究院。2003年在北京大学数学科学学院作博士后。2003年到北京师范大学工作至今。现任中国工业和应用数学学会第七届理事会常务理事。主要从事偏微分方程理论和复杂流体科学中的理论和计算研究。