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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 ,
Yvon Maday  and
Tahar Amari
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 = α B, 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 flowsForce-free fieldscurl operatorhydromagneticsstars: coronamagnetic fields.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 33 , Issue 2 , March 1999 , pp. 359 - 393
Copyright
© EDP Sciences, SMAI, 1999

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