On the existence of non-linear force-free fields in three-dimensional domains

被引：34
|
作者：
Boulmezaoud, TZ
Amari, T
机构：
[1] Univ Pau & Pays Adour, Dept Math, IPRA, F-64000 Pau, France
[2] Ecole Polytech, Ctr Phys Theor, F-91128 Palaiseau, France
来源：
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2000年 / 51卷 / 06期
关键词：
Beltrami flows; force-free fields; curl operator; non-linear PDE; Hydromagnetics; stars : corona; magnetic fields;
D O I：
10.1007/PL00001531
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Non-linear force-free fields (or Beltrami fields) are three-component divergence-free fields solutions of the equation curl B x B = 0. The aim of this paper is to prove existence of solutions of a corresponding boundary value problem in a simply or multiply connected domain of R-3. The proof is based on a fixed point procedure coupled with a singular perturbation skill.
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页码：942 / 967
页数：26
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