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

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

24 Citations (Scopus)

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.

Original language	English
Pages (from-to)	359-393
Number of pages	35
Journal	Mathematical Modelling and Numerical Analysis
Volume	33
Issue number	2
DOIs	https://doi.org/10.1051/m2an:1999121
Publication status	Published - 1 Jan 1999
Externally published	Yes

Keywords

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

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10.1051/m2an:1999121

Cite this

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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.",

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AU - Amari, Tahar

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AB - 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.

KW - Beltrami flows

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

Abstract

Keywords

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