From constant to non-degenerately vanishing magnetic fields in superconductivity
Analysis of PDEs
2015-03-31 v1 Mathematical Physics
math.MP
Abstract
We explore the relationship between two reference functions arising in the analysis of the Ginzburg-Landau functional. The first function describes the distribution of superconductivity in a type II superconductor subjected to a constant magnetic field. The second function describes the distribution of superconductivity in a type II superconductor submitted to a variable magnetic field that vanishes non-degenerately along a smooth curve.
Keywords
Cite
@article{arxiv.1503.08529,
title = {From constant to non-degenerately vanishing magnetic fields in superconductivity},
author = {Bernard Helffer and Ayman Kachmar},
journal= {arXiv preprint arXiv:1503.08529},
year = {2015}
}