学术讲座 Lecture

【19.9.22 9:00-9:45】学术报告---吕勇副教授

2019-09-16 15:26:47 来源:学术报告---吕勇副教授 点击: 收藏本文

报告人:吕勇副教授(南京大学)

时 间:2019年9月22日上午 9:00-9:45

地点:华南数学应用与交叉研究中心学术报告厅111

题目:Resonances and instabilities in geometric optics


摘要:

It is used the name geometric optics for the study of highly oscillating solutions to hyperbolic systems. The main issue is the stability of a family of approximate solutions called WKB solutions in the short wavelength limit. The main obstacle to such a stability analysis is the resonance.  In this lecture, we will discuss systematically the relationship between resonances and stabilities. In particular, we will describe the mechanism how resonances may destabilize WKB solutions. Collaborators include Eric Dumas (Grenoble), Benjamin Texier (Paris), Zhifei Zhang (Beijing).


 个人简介:

吕勇,南京大学数学系副教授,2017年入选青年海外高层次人才引进计划。本科毕业于中国科技大学数学系,在法国巴黎七大取得硕士和博士学位,之后在布拉格查理大学从事博士后研究。主要研究领域是偏微分方程的数学分析,侧重在数学几何光学以及数学流体力学两个方向。主要研究成果发表在《Archive for Rational Mechanics and Analysis》,《Mémoires de la Société Mathématique de France》,《SIAM: Journal on Mathematical Analysis》, 《Calculus of Variations and Partial Differential Equations》,《ESAIM: Control, Optimisation and Calculus of Variations》,《Journal of Differential Equations》, 《Journal of Mathematical Fluid Mechanics》等颇具影响力的期刊上。