报告题目：Homogenization of Poisson and Stokes equations in the whole space

报告人：吕勇副教授（南京大学）

报告时间：2021年11月12日下午13：00-14：00

报告地点：数学与统计学院4号楼302室

报告摘要：

We consider the homogenization of the Poisson and the Stokes equations in the whole space perforated with periodically distributed small holes. The periodic homogenization in bounded domains is well understood, following the classical results of Tartar, Cioranescu-Murat, Allaire in 80s and 90s. In this paper, we show that these classical homogenization results in a bounded domain can be extended to the whole space R^d. Our results cover all three cases corresponding to different sizes of holes and cover all d\geq 2.

报告人简介：

吕勇，南京大学副教授，博士生导师，国家高层次青年人才入选者。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等专业顶尖期刊上。