Volume 16, Number 3, July-September 2010
|Page(s)||545 - 580|
|Published online||18 June 2009|
Magnetic vortices for a Ginzburg-Landau type energy with discontinuous constraint
Université Paris-Sud, Département de mathématique, Bât.
425, 91405 Orsay, France.
2 Aarhus University, Department of mathematical sciences, 1530 Ny Munkegade, 8000 Aarhus C, Denmark. firstname.lastname@example.org
Revised: 13 February 2009
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.
Mathematics Subject Classification: 35J60 / 35J20 / 35J25 / 35B40 / 35Q55 / 82D55
Key words: Generalized Ginzburg-Landau energy functional / proximity effects / global minimizers / unique positive solution / vortices
© EDP Sciences, SMAI, 2009
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