| Issue |
ESAIM: COCV
Volume 16, Number 3, July-September 2010
|
|
|---|---|---|
| Page(s) | 545 - 580 | |
| DOI | https://doi.org/10.1051/cocv/2009009 | |
| Published online | 18 June 2009 | |
Magnetic vortices for a Ginzburg-Landau type energy with discontinuous constraint
1
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. ayman.kachmar@math.u-psud.fr
Received:
30
April
2008
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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