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

Tahar-Zamène Boulmezaoud; Yvon Maday; Tahar Amari

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

  • Volume: 33, Issue: 2, page 359-393
  • ISSN: 0764-583X

Abstract

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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.

How to cite

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Boulmezaoud, Tahar-Zamène, Maday, Yvon, and Amari, Tahar. "On the linear force-free fields in bounded and unbounded three-dimensional domains." ESAIM: Mathematical Modelling and Numerical Analysis 33.2 (2010): 359-393. <http://eudml.org/doc/197608>.

@article{Boulmezaoud2010,
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. },
author = {Boulmezaoud, Tahar-Zamène, Maday, Yvon, Amari, Tahar},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
keywords = {Beltrami flows; Force-free fields; curl operator; hydromagnetics; stars: corona; magnetic fields.; helicity; Fredholm type solution theory; existence and uniqueness},
language = {eng},
month = {3},
number = {2},
pages = {359-393},
publisher = {EDP Sciences},
title = {On the linear force-free fields in bounded and unbounded three-dimensional domains},
url = {http://eudml.org/doc/197608},
volume = {33},
year = {2010},
}

TY - JOUR
AU - Boulmezaoud, Tahar-Zamène
AU - Maday, Yvon
AU - Amari, Tahar
TI - On the linear force-free fields in bounded and unbounded three-dimensional domains
JO - ESAIM: Mathematical Modelling and Numerical Analysis
DA - 2010/3//
PB - EDP Sciences
VL - 33
IS - 2
SP - 359
EP - 393
AB - 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.
LA - eng
KW - Beltrami flows; Force-free fields; curl operator; hydromagnetics; stars: corona; magnetic fields.; helicity; Fredholm type solution theory; existence and uniqueness
UR - http://eudml.org/doc/197608
ER -

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