中科院数学与系统科学研究院
数学研究所
调和分析及其应用研究中心
学术报告
调和分析和偏微分方程研讨班
报告人：黄佳习（北理工）
题 目：Ericksen-Leslie's hyperbolic liquid crystal model
时 间：2023.09.12（星期二）16:00-17:00
地 点：思源楼S803
摘 要：This talk is devoted to the Ericksen-Leslie's hyperbolic system for incompressible liquid crystal model, where the direction of liquid crystal molecules satisfies a wave map equation with an acoustical metric. I will introduce the almost global well-posedness for small and smooth initial data near the constant equilibrium in low dimensions . I will also present the main difficulties and key ingredients in the proof. Our proof relies on the idea of vector-field method and ghost weight method. This is joint work with Lifeng Zhao and Ning Jiang.