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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
14/2004

Boundary vortices in thin magnetic films

Matthias Kurzke

Abstract

We study the asymptotic behavior of a family of functionals describing the formation of topologically induced boundary vortices in thin magnetic films. We obtain convergence results for sequences of minimizers and some classes of stationary points, and relate the limiting behavior to a finite dimensional problem, the renormalized energy associated to the vortices.

Received:
Apr 5, 2004
Published:
Apr 5, 2004
MSC Codes:
35B25, 82D40
Keywords:
micromagnetism, ginzburg-landau type vortices

Related publications

inJournal
2006 Repository Open Access
Matthias Kurzke

Boundary vortices in thin magnetic films

In: Calculus of variations and partial differential equations, 26 (2006) 1, pp. 1-28