Existence, regularity, and asymptotic behaviour of the solutions to the Ginzburg-Landau equations on \({\mathbb{R}}^ 3\)
type: Item
instance of: scholarly article
title: Existence, regularity, and asymptotic behaviour of the solutions to the Ginzburg-Landau equations on \({\mathbb{R}}^ 3\)
zbMATH Open document ID: 0678.35086
DOI: 10.1007/BF01244021
author: Yisong Yang
published in: Communications in Mathematical Physics
publication date: 1989-01-01T00:00:00Z
review text: The paper is devoted to the study of the solutions of the Ginzburg-Landau equation in \(R^ 3\). The existence of regular solutions of this equation is proved in the presence of an arbitrary distributed external magnetic field. The solutions found are in the Coulomb gauge and stay at the lowest energy level (ground state). It is shown that these solutions are energetically stable. If the external field is sufficiently regular then the solutions are shown to have good decaying asymptotics.
Mathematics Subject Classification ID: 35Q99
Mathematics Subject Classification ID: 81V99
Mathematics Subject Classification ID: 35B40
zbMATH DE Number: 4111219
zbMATH Keywords: Ginzburg-Landau equation
zbMATH Keywords: existence
zbMATH Keywords: regular solutions
zbMATH Keywords: external magnetic field
zbMATH Keywords: Coulomb gauge
zbMATH Keywords: lowest energy level
zbMATH Keywords: ground state
zbMATH Keywords: energetically stable
zbMATH Keywords: decaying asymptotics
reviewed by: B. Konopelchenko
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4111219