Modul:   MAT870  Zurich Colloquium in Applied and Computational Mathematics

Quantitative homogenization of elliptic problems in periodic high contrast environments

Talk by Prof. Dr. Wenjia Jing

Date: 04.10.23  Time: 16.30 - 17.30  Room: ETH HG E 1.2

We consider elliptic equations with periodic high contrast coefficients and study the asymptotic analysis when the periodicity is sent to zero and/or the contrast parameters are sent to extreme values. Those coefficients model small inclusions that have very different physical properties compared to the surrounding environment. Homogenization captures the macroscopic effects of those inclusions. We report some quantitative results such as the convergence rates of the homogenization (with proper correctors), uniform regularity for the solutions of the heterogeneous equations, and so on. The talk is based on joint works with Mr. Xin Fu.''