报告题目：On the null controllability of nematic liquid crystal flows in dimension two

报告人： 王长友 教授(Purdue University)

报告时间：2023年6月29日上午10点00 分-11点00分

报告地点： 数135

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2023.6.25

报告摘要：In this talk, I will discuss a recent result on the null controllability of the simplified Erickson-Leslie (EL) system modeling the hydrodynamic of motions of nematic liquid crystal materials, under the zero Neumann boundary condition for the director $d$ and the Navier-slip boundary condition for the fluid velocity $u$, over a two dimensional bounded, smooth region, via interior controls of $u$ and controls by external magnetic fields for $d$. The ideas involve a rigidity inequality on $H^2$-maps into spheres under the zero Neumann boundary condition, the exact controllability of trajectories of EL system, and Coron’s null controllability of the Navier-Stokes equation under Navier slip boundary condition.

报告人简介： 王长友教授是偏微分方程领域的知名专家，国家杰出青年基金（B类）获得者，于1996年在Rice大学获得博士学位，先后在芝加哥大学，肯塔基大学，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, ARMA, CMP, Trans. Amer. Math. Soc. 等国际高水平期刊发表论文100余篇。