On a system of multi-component Ginzburg-Landau vortices

Rejeb Hadiji; Jongmin Han; Juhee Sohn

doi:10.1515/anona-2022-0315

On a system of multi-component Ginzburg-Landau vortices

Rejeb Hadiji, Jongmin Han, Juhee Sohn

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

We study the asymptotic behavior of solutions for n n -component Ginzburg-Landau equations as ϵ → 0. We prove that the minimizers converge locally in any Ck-norm to a solution of a system of generalized harmonic map equations.

Original language	English
Article number	20220315
Journal	Advances in Nonlinear Analysis
Volume	12
Issue number	1
DOIs	https://doi.org/10.1515/anona-2022-0315
Publication status	Published - 1 Jan 2023

Bibliographical note

Publisher Copyright:
© 2023 the author(s), published by De Gruyter.

Keywords

asymptotic behavior of solutions
n-component Ginzburg-Landau equations
semi-local gauge field model

Access to Document

10.1515/anona-2022-0315

Cite this

@article{1d9eba54e79f44e89cc3ea3b359098f8,

title = "On a system of multi-component Ginzburg-Landau vortices",

abstract = "We study the asymptotic behavior of solutions for n n -component Ginzburg-Landau equations as ϵ → 0. We prove that the minimizers converge locally in any Ck-norm to a solution of a system of generalized harmonic map equations.",

keywords = "asymptotic behavior of solutions, n-component Ginzburg-Landau equations, semi-local gauge field model",

author = "Rejeb Hadiji and Jongmin Han and Juhee Sohn",

note = "Publisher Copyright: {\textcopyright} 2023 the author(s), published by De Gruyter.",

year = "2023",

month = jan,

day = "1",

doi = "10.1515/anona-2022-0315",

language = "English",

volume = "12",

journal = "Advances in Nonlinear Analysis",

issn = "2191-9496",

publisher = "De Gruyter Open Ltd.",

number = "1",

}

TY - JOUR

T1 - On a system of multi-component Ginzburg-Landau vortices

AU - Hadiji, Rejeb

AU - Han, Jongmin

AU - Sohn, Juhee

PY - 2023/1/1

Y1 - 2023/1/1

N2 - We study the asymptotic behavior of solutions for n n -component Ginzburg-Landau equations as ϵ → 0. We prove that the minimizers converge locally in any Ck-norm to a solution of a system of generalized harmonic map equations.

AB - We study the asymptotic behavior of solutions for n n -component Ginzburg-Landau equations as ϵ → 0. We prove that the minimizers converge locally in any Ck-norm to a solution of a system of generalized harmonic map equations.

KW - asymptotic behavior of solutions

KW - n-component Ginzburg-Landau equations

KW - semi-local gauge field model

UR - http://www.scopus.com/inward/record.url?scp=85161279214&partnerID=8YFLogxK

U2 - 10.1515/anona-2022-0315

DO - 10.1515/anona-2022-0315

M3 - Article

AN - SCOPUS:85161279214

SN - 2191-9496

VL - 12

JO - Advances in Nonlinear Analysis

JF - Advances in Nonlinear Analysis

IS - 1

M1 - 20220315

ER -

On a system of multi-component Ginzburg-Landau vortices

Abstract

Bibliographical note

Keywords

Access to Document

Other files and links

Fingerprint

Cite this