The distribution of superconductivity near a magnetic barrier
Analysis of PDEs
2017-09-29 v1
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.
Keywords
Cite
@article{arxiv.1709.09855,
title = {The distribution of superconductivity near a magnetic barrier},
author = {Wafaa Assaad and Ayman Kachmar and Mikael Persson-Sundqvist},
journal= {arXiv preprint arXiv:1709.09855},
year = {2017}
}