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Convergence of Weak Solutions from The Landau-De-Gennes Theory to The Ericksen-Leslie Theory

主讲人：辛周平

摘要：In this talk I will discuss the asymptotic connections between the Landau-de-Gennes theory and the Ericksen-Leslie theory for nematic liquid crystals. I will present the main results that  the weak solutions to the Beris-Edwards equations converge to the ones to the Ericksen-Leslie equations in 2-dimension as the elastic coefficient tends to zero. The key point is that the limiting weak solutions to the Ericksen-Leslie system may have singularities. The main difficulties and ideas of analysis will be discussed. This is based on  joint works with Dr. Xiaotao Zhang.

主讲人简介：辛周平，香港中文大学教授。辛周平教授长期从事流体力学偏微分方程理论研究，在双曲守恒律、高维激波、边界层理论、混合型方程、可压流体与不可压流体方程和松弛格式等领域做出了突出贡献。

邀请人：雷远杰

时间：2022年7月8日 （星期五）16: 00-17:30  

地点：逸夫科技楼     ID:702会议室