分析与偏微分方程系列报告

主讲人 Speaker:Dai Wei (Beihang University), Luo Senping (Jiangxi Normal University)
时间 Time:Fri., 9:00-11:00am, Dec.16, 2022
地点 Venue:Online
课程日期:2022-12-16

Title:On properties of solutions to fractional and higher order systems

Speaker:Prof. Dai Wei (Beihang University)

Time:Fri., 9:00-10:00 am, Dec.16, 2022

Venue:Tencent Meeting ID:144-653-067 Passcode:221216


Abstract:

In this talk, we introduce some recent results on properties of solutions to fractional and higher order systems. For instance, the classification of solutions to conformally invariant systems with mixed order and exponentially increasing or nonlocal nonlinearity, and the uniform a priori estimates for positive solutions to the n-th order superlinear Lane-Emden system in bounded domains with Navier boundary conditions in R^n (n>=3). This is joint work with Guolin Qin and Leyun Wu.


Bio:

戴蔚,北京航空航天大学数学科学学院副教授,基础数学系主任,博士生导师。2012年博士毕业于中国科学院数学与系统科学研究院,曾赴美国UC Berkeley与法国Université Sorbonne Paris Nord做访问学者。主持国家自然科学基金三项,2022年获国家自然科学基金优秀青年科学基金项目资助。主要研究分数阶与高阶椭圆方程、发展方程及多线性调和分析。相关研究结果发表在包括Adv. Math.、Analysis & PDE、IMRN、Trans. AMS、JFA、SIAM J. Math. Anal.、CVPDE、J. Anal. Math.等在内的重要学术期刊。


邀请人:陈志杰



 

Title:Why hexagonal shape prevails? A personal perspective

Speaker:Prof. Luo Senping (Jiangxi Normal University)

Time:Fri., 10:00-11:00 am, Dec.16, 2022

Venue:Tencent Meeting ID:144-653-067 Passcode:221216


Abstract:

The hexagonal shape appears almost ubiquitous in nature. However, the mathematical theory to understand hexagonal shape is far from satisfactory. In this talk, I will present my personal understanding on this direction. I show introduce several related mathematical works, then briefly mention a joint work with Prof. Wei, contributing to the understanding of hexagonal shape.


Bio:

罗森平,清华大学博士,加拿大英属哥伦比亚大学博士后,美国辛辛那提大学访问助理教授,现供职于江西师范大学,任特聘教授。研究领域为分析与方程,解析数论与统计物理等,在《Math. Ann.》,《ARMA》,《IMRN》,《SIMA》等杂志上发表过文章,和魏军城教授一起部分解决了Mueller-Ho猜想。


邀请人:陈志杰