On a system of multi-component Ginzburg-Landau vortices

We study the asymptotic behavior of solutions for nn-component Ginzburg-Landau equations as ε→0\varepsilon \to 0. We prove that the minimizers converge locally in any Ck{C}^{k}-norm to a solution of a system of generalized harmonic map equations.

Bibliographic Details
Main Authors: Hadiji Rejeb, Han Jongmin, Sohn Juhee
Format: Article
Language:English
Published: De Gruyter 2023-06-01
Series:Advances in Nonlinear Analysis
Subjects:
Online Access:https://doi.org/10.1515/anona-2022-0315