报告题目：Homogenization of incompressible Navier-Stokes system in perforated domains

报 告 人：吕勇副教授（南京大学）

报告时间：2022年7月30日  16:00-17:00

报告地点：数学中心智慧教室

报告摘要：

We consider the homogenization problems for homogeneous incompressible Navier-Stokes system in three dimensional domains perforated with a large number of small holes which are periodically located. We first establish certain uniform estimates for the weak solutions. After suitably extending the weak solutions to the whole domain, we employ the generalized cell problem, where the idea comes from Tartar, to study the limit process.

报告人简介：

吕勇，南京大学副教授，博士生导师。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。吕勇的研究领域是非线性几何光学以及流体力学中偏微分方程的数学分析，主要研究成果发表在Archive for Rational Mechanics and Analysis, Mémoires de la Société Mathématique de France, Calculus of Variations and Partial Differential Equations, SIAM: Journal on Mathematical Analysis, ESAIM: Control, Optimisation and Calculus of Variations, Journal of Differential Equations等很具影响力的期刊上。