走向现代数学学术报告 - 钮维生教授（No. 770)

报告题目：Homogenization of elliptic equations involving multiscales in perforated domains

报 告 人： 钮维生 教授（安徽大学）

报告时间：2025年1月14日 9:00

报告地点：东海岸校区 - D实209

报告摘要：This talk concerns on quantitative estimates in the homogenization of linear elasticity with periodic coefficients that oscillate at a microscopic scale δ, and in domains which are periodically perforated at a microscopic scale ε. Under proper scale separation conditions, the convergence rates, which highly depend on the scales ε and δ are derived from the point view of reiterated homogenization. Based on which, the uniform Lipschitz and W1,p estimates are also obtained. This provides the quantitative estimates for the two-scale expansions given by the work ”J. Lions in Rocky Mountain J. Math. 10(1), 125–140 (1980).

个人简介：钮维生，安徽大学教授，博士生导师，安徽省学术与技术带头人后备人选，安徽省优秀青年科学基金获得者（首届），主要研究兴趣为无穷维动力系统，偏微分方程的均匀化理论，在Mathematische Annalen，Journal of Functional Analysis, Communications in Partial Differential equations, Journal of Differential Equations等期刊上发表论文30余篇，先后主持国家自然科学基金面上项目、青年基金项目，以及安徽省自然科学基金优秀青年基金等多项省部级项目。荣获安徽省教坛新秀奖、安徽大学青年教学基本功竞赛一等奖等荣誉。