English

On a system of multi-component Ginzburg-Landau vortices

Analysis of PDEs 2022-11-15 v2 Mathematical Physics math.MP

Abstract

We study the asymptotic behavior of solutions for nn-component Ginzburg-Landau equations as \ve0\ve \to 0. We prove that the minimizers converges locally in any CkC^k-norm to a solution of a system of generalized harmonic map equations.

Keywords

Cite

@article{arxiv.2205.14684,
  title  = {On a system of multi-component Ginzburg-Landau vortices},
  author = {Rejeb Hadiji and Jongmin Han and Juhee Sohn},
  journal= {arXiv preprint arXiv:2205.14684},
  year   = {2022}
}