Tuesday Seminar of Analysis

Seminar information archive ~06/09Next seminarFuture seminars 06/10~

Date, time & place Tuesday 16:00 - 17:30 156Room #156 (Graduate School of Math. Sci. Bldg.)
Organizer(s) ISHIGE Kazuhiro, SAKAI Hidetaka, ITO Kenichi


16:30-18:00   Room #128 (Graduate School of Math. Sci. Bldg.)
Masaaki Uesaka (Graduate School of Mathematical Sciences, The University of Tokyo)
Homogenization in a Thin Layer with an Oscillating Interface and Highly Contrast Coefficients (JAPANESE)
[ Abstract ]
We consider the homogenization problem of the elliptic boundary value problem in a thin domain which has a high and low conductivity zones. In our model, two media are separated by a highly oscillating interface. The asymptotic behavior is governed by the order of the thickness of the domain, oscillation period of the interface and contrast between two media. In this talk, we show that the limit problem is changed by these parameters. We also introduce the two-scale convergence result in a thin domain which is the key ingredient of the proof.