20211028 王长友 Partial regularity of a nematic liquid crystal flow with kinematic transport effects

报告题目:  Partial regularity of a nematic liquid crystal flow with kinematic transport effects

报告人：王长友教授(Purdue大学)

时间：  2021年10月28日 (周四), 10:00-11:00 (上午)

腾讯会议：818 400 661

邀请人：周建丰

报告摘要: Motivated by the non-corotational Beris-Edwards $Q$-tensor system modeling the hydrodynamic of nematic liquid crystal materials, we consider the corresponding Ericksen vectorial model that includes kinematic transport parameters for molecules of various shapes and show that there exists a global weak solution in dimension three, which is smooth away from a closed set with Hausdorff dimension at most $15/7$.

This is a joint work with Hengrong Du.

报告人简介：王长友教授是偏微分方程领域的知名专家，于1996年在Rice大学获得博士学位，先后在芝加哥大学，卡塔基大学，普渡大学工作。研究兴趣包括PDE，几何分析等，主持多项美国自然科学基金，获得荣誉包括：Sloan奖、美国数学会Centennial Fellowship、IMA New Directions奖、Simons Fellowship等。已在CPAM, Arch. Ration. Mech. Anal., Comm. Math. Phys., Trans. Amer. Math. Soc. 等国际高水平期刊发表论文100余篇。