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数学与统计学院网络视频学术讲座:Analysis of Hydrodynamics of Nematic Liquid Crystals(时间5.15)
【 澳门威斯尼人平台登陆:  校对时间:2020年05月11日 11:06  访问次数: 】

讲座人:王长友教授

讲座时间:5月15日10:00

讲座地点:ZOOM会议ID:99470175170 密码:123456

主办单位:数学与统计学院

欢迎光临!

  The orientation of Liquid crystal molecules has their preferable direction and exhibits an optical structure. Liquid crystal can also been viewed as an intermediate state between the liquid and the solid states.Given the importance, people have studied liquid crystals from the view point of modeling, computation, analysis, and engineering.In this talk, I will focus on the hydrodynamics of nematic liquid crystals, namely the Ericksen-Leslie system in conjunction with the (static) Oseen-Frank theory.The governing equation can be viewed as a strong coupling system between the forced Navier-Stokes equation for the underlying fluid velocity and the transported harmonic map heat flow to the unit sphere. I will describe some recent work on the existence of global solutions that may exhibit singularities, and the development of finite time singularity in dimensions two and three.


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