MICROMAGNETICS OF THIN SHELLS
Valeriy Slastikov · Mathematical Models and Methods in Applied Sciences · 2005
We study a thin-shell limit of micromagnetic energy for soft small ferromagnets. The relations between thickness of the magnet t, diameter l and magnetic exchange length w are t/l → 0 and tl/w2 ≲ 1. We prove a Γ-convergence of the original 3D problem to a nonlocal 2D problem.