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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
25/2003

Boundary vortices for thin ferromagnetic films

Roger Moser

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.

Received:
Mar 19, 2003
Published:
Mar 19, 2003
MSC Codes:
35J60, 35Q60, 58E20
Keywords:
ginzburg-landau vortices, thin films, ferromagnetism

Related publications

inJournal
2004 Repository Open Access
Roger Moser

Boundary vortices for thin ferromagnetic films

In: Archive for rational mechanics and analysis, 174 (2004) 2, pp. 267-300