Periodic High Contrast Environments: Quantitative Homogenization and Wave Propagation Problems
发布时间:2024年05月20日
浏览次数:432
发布者: He Liu
主讲人: Wenjia Jing(Tsinghua University)
活动时间: 从 2024-05-27 16:00 到 17:00
场地: 智华楼四元厅
We consider elliptic operators with periodic high contrast coefficients which model small inclusions that have very different physical properties compared to the surrounding environment. We report on some recent developments on the asymptotic analysis of such structures, including quantitative homogenization, uniform (with respect to contrast parameter and small periodicity) regularity, dispersion relation and Dirac points of high contrast honeycomb structures, and wave propagation and its approximation in such structures. The talk is based on some joint works with Habib Ammari and Xin Fu.