On a system of multi-component Ginzburg-Landau vortices

2022/05/29 by Rejeb Hadiji, Jongmin Han, Hadiji, Rejeb +3 · 1 citation
Mathematics · #35B40 #35J60 #35Q60 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Mathematical Physics (math-ph) #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.2205.14684

openalex publication_date 2022/05/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

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• On the Convergence of Solutions for the Ginzburg-Landau Equation and System

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