Title: Partial Differential Equations and Applied Mathematics Seminar (2016.12.9)

Author: CMAC

Date: 2016-12-06 (13:57)

Date/Time: Dec., 9th, 5:00 ~ 6:00 PM

Location: Science Building #225 Yonsei University

Speaker: 유민하 박사

Affiliation: NIMS

Title: Homogenization of elliptic and parabolic soft inclusions

Abstract:

In this talk, we consider periodic Soft inclusion problems of elliptic and parabolic linear equation of non-divergence form. Usually, it is called Soft inclusion problems to find effective conductivity of composites consisting of a medium with non-conducting grains. Mathematically, non-conducting grains are described by union of disjoint holes with periodicity epsilon. For each epsilon, the unique current density function (the solution of epsilon problem) u-epsilon exists for a given boundary data. We note that, at the boundary of grains, the Neumann data of u-epsilon vanishes.