The distribution of superconductivity near a magnetic barrier

2017/09/28 by Assaad, Wafaa, Kachmar, Ayman, Persson-Sundqvist, Mikael
#35J10 #35Q56 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1709.09855

Abstract

We consider the Ginzburg-Landau functional, defined on a two-dimensional simply connected domain with smooth boundary, in the situation when the applied magnetic field is piecewise constant with a jump discontinuity along a smooth curve. In the regime of large Ginzburg-Landau parameter and strong magnetic field, we study the concentration of minimizing configurations along this discontinuity.

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