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Boundary vortices in thin magnetic films

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Abstract

We study the asymptotic behavior of a family of functional 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.

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  1. Institute for Mathematics and its Applications, University of Minnesota, 400 Lind Hall, 207 Church Street SE, Minneapolis, MN, 55455, USA

    Matthias Kurzke

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  1. Matthias Kurzke
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Correspondence to Matthias Kurzke.

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Mathematics Subject Classification (2000) 35B25; 82D40

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Kurzke, M. Boundary vortices in thin magnetic films. Calc. Var. 26, 1–28 (2006). https://doi.org/10.1007/s00526-005-0331-z

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  • DOI: https://doi.org/10.1007/s00526-005-0331-z

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