Reiterated Homogenization of Parabolic Systems

发布时间：2023-10-19 作者：浏览次数：

Speaker:	钮维生	DateTime:	2023年10月21日（周六）上午9：50-10:35
Brief Introduction to Speaker: 钮维生，安徽大学教授、博士生导师。近年来主要从事偏微分方程与无穷维动力系统均匀化理论的研究，在高阶椭圆、抛物方程组周期、几乎周期均匀化定量理论的研究上取得了若干有意义的结果，在Journal of Functional Analysis, Communications in Partial Differential equations, Journal of Differential Equations等期刊上发表多篇论文。先后主持国家自然科学基金面上项目、青年项目、教育部博士点基金等多项国家及省部级项目。		Place:	6号楼2号报告厅
Abstract:We consider quantitative estimates in the homogenization of second-order parabolic systems with periodic coefficients that oscillate on multiple spatial and temporal scales. The convergence rate in the homogenization is derived in the $L^2$ space, and the large-scale interior and boundary Lipschitz estimates are also established. Our investigation relies on a quantitative reiterated homogenization theory.