Geodesic
Magnetic vortices for a Ginzburg-Landau type energy with discontinuous constraint
ESAIM: Control, Optimisation and Calculus of Variations, Tome 16 (2010) no. 3, pp. 545-580

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This paper is devoted to an analysis of vortex-nucleation for a Ginzburg-Landau functional with discontinuous constraint. This functional has been proposed as a model for vortex-pinning, and usually accounts for the energy resulting from the interface of two superconductors. The critical applied magnetic field for vortex nucleation is estimated in the London singular limit, and as a by-product, results concerning vortex-pinning and boundary conditions on the interface are obtained.

DOI : 10.1051/cocv/2009009
Classification : 35J60, 35J20, 35J25, 35B40, 35Q55, 82D55
Keywords: generalized Ginzburg-Landau energy functional, proximity effects, global minimizers, unique positive solution, vortices 
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     author = {Kachmar, Ayman},
     title = {Magnetic vortices for a {Ginzburg-Landau} type energy with discontinuous constraint},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {545--580},
     publisher = {EDP-Sciences},
     volume = {16},
     number = {3},
     year = {2010},
     doi = {10.1051/cocv/2009009},
     mrnumber = {2674626},
     zbl = {1203.35272},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/cocv/2009009/}
}
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Kachmar, Ayman. Magnetic vortices for a Ginzburg-Landau type energy with discontinuous constraint. ESAIM: Control, Optimisation and Calculus of Variations, Tome 16 (2010) no. 3, pp. 545-580. doi: 10.1051/cocv/2009009

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