报告题目: Homogenization error of unsteady flow ruled by Darcy's law

报告人: 徐强 副教授

报告人单位：兰州大学数学与统计学院

报告时间：2022年4月23日(周六) 10：00--11：00

报告地点：腾讯会议 644219082

报告摘要: This talk is devoted to studying homogenization error for non-stationary Stokes equations on perforated domains, which originally developed by J. -L. Lions. We now present a sharp error estimate in the sense of energy norms, where the main challenge is to control the boundary layers caused by the incompressibility condition. To obtain the optimal error, we first introduce some refined regularity estimates for correct or without compatibility conditions between initial and boundary data, as well as, the well posedness of the effective equations in Bochner space.  Then, we further explain how we handle the boundary-layer correctors associated with Bogovskii's operator. This work is cooperated with Dr. Li Wang and Prof. Zhifei Zhang in Peking University.

报告人简介：徐强，兰州大学数学与统计学院副教授。曾在北京大学、德国马普所做博士后研究工作。主要从事分析与偏微分方程方面的理论研究，在周期、随机均匀化的定量估计方面取得了一些重要进展，已在SIAM J. Math. Anal., Calc. Var. Partial Differential Equations, J. Differential Equations等数学杂志发表。

   欢迎广大师生参加，联系人：陶元红。