报告题目：The Homogenization of Systems with Stratified or Locally Periodic Structures
This talk is mainly concerned with the convergence rates in homogenization of elliptic and parabolic systems with stratified or locally periodic structures. This kinds of systems have much theoretical significance in homogenization and strong backgrounds in biomechanics and engineering. I will present my recent work jointly with Weisheng Niu on the sharp convergence rate of elliptic systems as well as some interior regularity estimates. Compared to the traditional cases, we took the best advantage of the smoothing operators and overcame a series of special difficulties occurred in our case. Some interesting results in current work on parabolic systems will also be presented briefly.
徐侥，男，南京大学博士生，2014年起跟随钟承奎教授学习非线性泛函分析和无穷维动力系统理论，2016-2018年通过联合培养项目赴美国肯塔基大学跟随申仲伟教授学习偏微分方程的定量 homogenization 理论。主要研究领域是非线性泛函分析、无穷维动力系统、偏微分方程及其均质化理论。