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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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