The density of superconductivity in the bulk regime

2016/09/28 by Helffer, Bernard, Kachmar, Ayman · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.1609.08877

Abstract

In the asymptotic limit of a large Ginzburg-Landau parameter, we give a new asymptotic formula for the L²-norm of the Ginzburg-Landau order parameter. The formula is valid in the bulk regime where the intensity of the applied magnetic field is of the same order as the Ginzburg-Landau parameter and strictly below the second critical field. Our formula complements the celebrated one of Sandier-Serfaty for the L⁴-norm.

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• Existence of Bulk Vortices in Superconductors with Strong Magnetic Fields

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