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arXiv · 1709.02201

The density of superconductivity in domains with corners

Bernard Helffer·Ayman Kachmar
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Abstract

We compute the $L^2$-norm of the minimizer of the Ginzburg-Landau functional in a planar domain with a finite number of corners. Our computations are valid for a uniform applied magnetic field, large Ginzburg-Landau parameter and in the regime where superconductivity is confined near the corners of the domain.

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Bernard Helffer, Ayman Kachmar. 2017-09-07. The density of superconductivity in domains with corners. https://doi.org/10.1007/s11005-018-1070-3

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