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

Published online by Cambridge University Press:  15 August 2002

Tahar-Zamène Boulmezaoud
Affiliation:
Laboratoire d'Analyse Numérique, Université Pierre et Marie Curie, 4 place Jussieu, 75252 Paris Cedex 05, France. boulmeza@ann.jussieu.fr.
Yvon Maday
Affiliation:
Laboratoire ASCI-CNRS, Bâtiment 506, Université Paris Sud, 91405 Orsay, Cedex, France.
Tahar Amari
Affiliation:
(CNRS) DSM/DAPNIA Service d'Astrophysique, C-E Saclay, 91191 Gif sur Yvette Cedex, France.
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Abstract

Linear Force-free (or Beltrami) fields are three-components divergence-free fields solutions of the equation curlB = 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.

Type
Research Article
Copyright
© EDP Sciences, SMAI, 1999

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