题 目: Quantitative Results in Periodic Homogenization
报告人： Prof. Zhongwei Shen (申仲伟教授)
Department of Mathematics,University of Kentucky, Lexington, Kentucky
摘 要: Partial differential equations with rapidly oscillating coefficients are used to model various processes in materials with rapidly oscillating microstructures, such as composite and perforated materials. The theory of homogenization shows that such strongly inhomogeneous material may be approximately described via a homogenized or effective homogeneous material. In this general talk I will introduce the theory of homogenization and describe some of the recent progress in the quantitative homogenization of elliptic equations and systems with periodic coefficients. The results to be presented includes optimal regularity estimates, up to the boundary and uniform with respect to the inhomogeneity scale, and sharp convergence rates.
时 间： 2018年6月13日（周三）下午4:00