Boundary vortices for thin ferromagnetic films

revised version: July 2003
Roger Moser
(Please use for correspondence this email).

Submission date: 19. Mar. 2003
Pages: 21
MSC-Numbers: 35J60, 35Q60, 58E20
Keywords and phrases: ginzburg-landau vortices, thin films, ferromagnetism

Abstract:
We consider a simplified version of the micromagnetic energy for ferromagnetic samples in the shape of thin films. We study (a) stationary, stable critical points, and (b) solutions of the corresponding Landau-Lifshitz equation under a stability condition. We determine the asymptotic behaviour of solutions of these variational problems in the thin film limit. A characteristic property of the limit is the development of Ginzburg-Landau-type vortices at the boundary.