标题：Homogenization of Stokes equations in perforated domains: a unified approach

报告人：吕勇（南京大学）

地点：数学与计算机科学学院4号楼302室

时间：2019年11月1日上午8：45

摘要： We consider the homogenization of the Stokes equations in a domain perforated with a large number of small holes which are periodically distributed. G. Allaire gave a systematic study on this problem. In this paper, we introduce a unified proof for different sizes of holes for the homogenization of the Stokes equations by employing a generalized cell problem inspired by L. Tartar.

报告人介绍：南京大学数学系副教授。吕勇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，Calculus of Variations and Partial Differential Equations，SIAM: Journal on Mathematical Analysis, ESAIM: Control, Optimisation and Calculus of Variations，Journal of Differential Equations, Journal of Mathematical Fluid Mechanics等数学杂志上。