报告题目：Two types of partitioning problems
时间：2021-03-26 (星期五) 08:30 ~ 2021-03-26 (星期五) 11:30
地点：理工北楼601报告厅
主讲：厦门大学夏超教授
主办：数学与信息学院, 福建省分析数学及应用重点实验室, 数学研究中心
参加对象：相关专业师生
报告摘要：In this talk, two geometric variational problems, so-called partitioning problems for bounded domains will be discussed. Type-I is on area minimizing hypersurfaces with volume constraint and Type-II is on area minimizing ones with wetting area constraint. The stationary points for Type-I are free boundary CMC hypersurfaces while the ones for Type-II are minimal hypersurfaces with constant contact angle. When the bounded domain is a Euclidean ball, the global minimizers have been classified in 1970's. We will talk about the classification of the local minimizers for these problems. Moreover, we give Morse index estimate for such variational problems.
This talk is based on joint works with Guofang Wang and Jinyu Guo, respectively.
报告人简介：夏超，厦门大学教授，闽江学者特聘教授。2007年本科毕业于四川大学，2012年在德国弗莱堡大学获得博士学位，之后在德国应用数学马普所和加拿大麦吉尔大学从事过博士后研究，主要研究微分几何中出现的椭圆及抛物型偏微分方程，目前在J. Diff. Geom., Arch. Ration. Mech. Anal., Adv. Math., Math. Ann., Trans.AMS, Comm. Anal. Geom.Indiana Univ. Math. J, IMRN, Cal.Var. PDE,JDE, Ann. Glob. Anal. Geom.,等国际著名数学期刊上发表论文29篇。