English

Flux of superconducting vortices through a domain

Analysis of PDEs 2024-09-25 v1

Abstract

We study a mean-field model of superconducting vortices in a II-type superconductor. We prove the global solvability of the problem about a flux of superconducting vortices through a given domain and also analyse the regularity of weak solutions.

Keywords

Cite

@article{arxiv.2409.15524,
  title  = {Flux of superconducting vortices through a domain},
  author = {S. N. Antontsev and N. V. Chemetov},
  journal= {arXiv preprint arXiv:2409.15524},
  year   = {2024}
}