Applied Analysis

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Date, time & place Thursday 16:00 - 17:30 Room # (Graduate School of Math. Sci. Bldg.)
Organizer(s) ISHIGE Kazuhiro, MIYAMOTO Yasuhito, MITAKE Hiroyoshi, TAKADA Ryo

2008/01/24

16:00-17:30   Room #126 (Graduate School of Math. Sci. Bldg.)
Radu IGNAT (パリ南大学(オルセー))
A compactness result in micromagnetics
[ Abstract ]
We study a model for the magnetization in thin ferromagnetic films. It comes as a variational problem, depending on two parameters, for maps with values into the unit sphere. There is a physical prediction for the optimal configuration of the magnetization called the Landau state. Our goal is to prove compactness of the Landau state. This is a joint work with Felix Otto.