# 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

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topBoulmezaoud, 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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