Boundary vortices in thin magnetic films
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Submission date: 05. Apr. 2004
published in: Calculus of variations and partial differential equations, 26 (2006) 1, p. 1-28
DOI number (of the published article): 10.1007/s00526-005-0331-z
MSC-Numbers: 35B25, 82D40
Keywords and phrases: micromagnetism, ginzburg-landau type vortices
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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.