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Magnetic vortices for a Ginzburg-Landau type energy withdiscontinuous constraint

Published online by Cambridge University Press:  18 June 2009

Ayman Kachmar
Ayman Kachmar*
Affiliation:
Université Paris-Sud, Département de mathématique, Bât. 425, 91405 Orsay, France. Aarhus University, Department of mathematical sciences, 1530 Ny Munkegade, 8000 Aarhus C, Denmark. ayman.kachmar@math.u-psud.fr
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Abstract

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.

Keywords

Generalized Ginzburg-Landau energy functionalproximity effectsglobal minimizersunique positive solutionvortices
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 16 , Issue 3 , July 2010 , pp. 545 - 580
Copyright
© EDP Sciences, SMAI, 2009

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