The density of superconductivity in domains with corners
Analysis of PDEs
2018-04-04 v1 Mathematical Physics
math.MP
Abstract
We compute the -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.
Keywords
Cite
@article{arxiv.1709.02201,
title = {The density of superconductivity in domains with corners},
author = {Bernard Helffer and Ayman Kachmar},
journal= {arXiv preprint arXiv:1709.02201},
year = {2018}
}