Magnetic vortices for a Ginzburg-Landau type energy with discontinuous constraint

Kachmar, Ayman

ESAIM: Control, Optimisation and Calculus of Variations, Tome 16 (2010) no. 3, pp. 545-580.

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.

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