On the linear force-free fields in bounded and unbounded three-dimensional domains

Tahar Zamène Boulmezaoud; Yvon Maday; Tahar Amari

doi:10.1051/m2an:1999121

On the linear force-free fields in bounded and unbounded three-dimensional domains

Tahar Zamène Boulmezaoud
, Yvon Maday
, Tahar Amari

Lab. d'Analyse Numérique
Sorbonne Université
Laboratoire ASCI-CNRS
Université Paris-Saclay
Institut Pierre Simon Laplace, CNRS and CEA

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

24 Citations (Scopus)

Résumé

Linear Force-free (or Beltrami) fields are three-components divergence-free fields solutions of the equation curl B = αB, where α is a real number. Such fields appear in many branches of physics like astrophysics, fluid mechanics, electromagnetics and plasma physics. In this paper, we deal with some related boundary value problems in multiply-connected bounded domains, in half-cylindrical domains and in exterior domains.

langue originale	Anglais
Pages (de - à)	359-393
Nombre de pages	35
journal	Mathematical Modelling and Numerical Analysis
Volume	33
Numéro de publication	2
Les DOIs	https://doi.org/10.1051/m2an:1999121
état	Publié - 1 janv. 1999
Modification externe	Oui

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10.1051/m2an:1999121

Contient cette citation

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abstract = "Linear Force-free (or Beltrami) fields are three-components divergence-free fields solutions of the equation curl B = αB, where α is a real number. Such fields appear in many branches of physics like astrophysics, fluid mechanics, electromagnetics and plasma physics. In this paper, we deal with some related boundary value problems in multiply-connected bounded domains, in half-cylindrical domains and in exterior domains.",

keywords = "Beltrami flows, Curl operator, Force-free fields, Hydromagnetics, Stars: corona, magnetic fields",

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KW - Curl operator

KW - Force-free fields

KW - Hydromagnetics

KW - Stars: corona, magnetic fields

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DO - 10.1051/m2an:1999121

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On the linear force-free fields in bounded and unbounded three-dimensional domains

Résumé

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