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beltrami flows

ESAIM: Mathematical Modelling and Numerical Analysis (1)

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On the linear force-free fields in bounded andunbounded three-dimensional domains
Tahar-Zamène Boulmezaoud, Yvon Maday, Tahar Amari
Journal:

ESAIM: Mathematical Modelling and Numerical Analysis / Volume 33 / Issue 2 / March 1999

Published online by Cambridge University Press:

15 August 2002, pp. 359-393

Print publication:

March 1999
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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.