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

DOI : https://doi.org/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
@article{COCV_2010__16_3_545_0,
author = {Kachmar, Ayman},
title = {Magnetic vortices for a Ginzburg-Landau type energy with discontinuous constraint},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
publisher = {EDP-Sciences},
volume = {16},
number = {3},
year = {2010},
pages = {545-580},
doi = {10.1051/cocv/2009009},
zbl = {1203.35272},
mrnumber = {2674626},
language = {en},
url = {http://www.numdam.org/item/COCV_2010__16_3_545_0}
}

Kachmar, Ayman. Magnetic vortices for a Ginzburg-Landau type energy with discontinuous constraint. ESAIM: Control, Optimisation and Calculus of Variations, Volume 16 (2010) no. 3, pp. 545-580. doi : 10.1051/cocv/2009009. http://www.numdam.org/item/COCV_2010__16_3_545_0/

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