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Boundary Layers in Periodic Homogenization

Recent Developments in Harmonic Analysis May 15, 2017 - May 19, 2017

May 17, 2017 (09:30 AM PDT - 10:30 AM PDT)
Speaker(s): Zhongwei Shen (University of Kentucky)
Location: MSRI: Simons Auditorium
Tags/Keywords
  • PDE

  • partial differential equations

  • elliptic systems

  • homogenization

  • boundary value problem

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

Shen

Abstract

This talk is concerned with a family of elliptic systems in divergence form with rapidly oscillating periodic coefficients. I will discuss recent progress on homogenization and boundary layers for Dirichlet and Neumann problems with oscillating boundary data. The problems arise naturally in the study of higher-order convergence of solutions to boundary value problems with non-oscillating data. The use of harmonic analysis techniques in obtaining sharp estimates will be highlighted

Supplements
28689?type=thumb Shen Notes 263 KB application/pdf Download
Video/Audio Files

Shen

H.264 Video 9-Shen.mp4 158 MB video/mp4 rtsp://videos.msri.org/data/000/028/454/original/9-Shen.mp4 Download
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