$$nD-pD$$ n D - p D Dimensional reduction of micromagnetic structures

Abstract

Starting from a n D, n ≥ 2, non-convex and nonlocal micromagnetic energy, we determine, via an asymptotic analysis, the free energy of a pD ferromagnetic domain, 1 ≤ p < n.

Asymptotic analysis for two joined thin slanting ferromagnetic films

“…About this subject we refer to Hubert and Schafer in [20]. Note that mathematical results concerning dimension n ≥ 2 are obtained recently in [25].…”