English

The influence of magnetic steps on bulk superconductivity

Analysis of PDEs 2015-11-30 v1

Abstract

We study the distribution of bulk superconductivity in presence of an applied magnetic field, supposed to be a step function, modeled by the Ginzburg-Landau theory. Our results are valid for the minimizers of the two-dimensional Ginzburg-Landau functional with a large Ginzburg-Landau parameter and with an applied magnetic field of intensity comparable with the Ginzburg-Landau parameter.

Keywords

Cite

@article{arxiv.1511.08562,
  title  = {The influence of magnetic steps on bulk superconductivity},
  author = {Wafaa Assaad and Ayman Kachmar},
  journal= {arXiv preprint arXiv:1511.08562},
  year   = {2015}
}