On the existence of non-linear force-free fields in three-dimensional domains

Tahar Zamène Boulmezaoud; Tahar Amari

doi:10.1007/PL00001531

On the existence of non-linear force-free fields in three-dimensional domains

Tahar Zamène Boulmezaoud
, Tahar Amari

Université de Pau et des Pays de l’Adour

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

Résumé

Non-linear force-free fields (or Beltrami fields) are three-component divergence-free fields solutions of the equation curl B × B = 0. The aim of this paper is to prove existence of solutions of a corresponding boundary value problem in a simply or multiply connected domain of ℝ³. The proof is based on a fixed point procedure coupled with a singular perturbation skill.

langue originale	Anglais
Pages (de - à)	942-967
Nombre de pages	26
journal	Zeitschrift fur Angewandte Mathematik und Physik
Volume	51
Numéro de publication	6
Les DOIs	https://doi.org/10.1007/PL00001531
état	Publié - 1 janv. 2000

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10.1007/PL00001531

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title = "On the existence of non-linear force-free fields in three-dimensional domains",

abstract = "Non-linear force-free fields (or Beltrami fields) are three-component divergence-free fields solutions of the equation curl B × B = 0. The aim of this paper is to prove existence of solutions of a corresponding boundary value problem in a simply or multiply connected domain of ℝ3. The proof is based on a fixed point procedure coupled with a singular perturbation skill.",

keywords = "Beltrami flows, Curl operator, Force-free fields, Hydromagnetics, Magnetic fields, Non-linear PDE, Stars: Corona",

author = "Boulmezaoud, \{Tahar Zam{\`e}ne\} and Tahar Amari",

year = "2000",

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AU - Boulmezaoud, Tahar Zamène

AU - Amari, Tahar

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N2 - Non-linear force-free fields (or Beltrami fields) are three-component divergence-free fields solutions of the equation curl B × B = 0. The aim of this paper is to prove existence of solutions of a corresponding boundary value problem in a simply or multiply connected domain of ℝ3. The proof is based on a fixed point procedure coupled with a singular perturbation skill.

AB - Non-linear force-free fields (or Beltrami fields) are three-component divergence-free fields solutions of the equation curl B × B = 0. The aim of this paper is to prove existence of solutions of a corresponding boundary value problem in a simply or multiply connected domain of ℝ3. The proof is based on a fixed point procedure coupled with a singular perturbation skill.

KW - Beltrami flows

KW - Curl operator

KW - Force-free fields

KW - Hydromagnetics

KW - Magnetic fields

KW - Non-linear PDE

KW - Stars: Corona

UR - https://www.scopus.com/pages/publications/0034344944

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JO - Zeitschrift fur Angewandte Mathematik und Physik

JF - Zeitschrift fur Angewandte Mathematik und Physik

IS - 6

ER -

On the existence of non-linear force-free fields in three-dimensional domains

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