Long-time asymptotics of the mean-field magnetohydrodynamics equation

被引：1
|
作者：
Núñez, M [1 ]
机构：
[1] Univ Valladolid, E-47005 Valladolid, Spain
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2001年 / 34卷 / 26期
关键词：
D O I：
10.1088/0305-4470/34/26/310
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
It is shown that a magnetic field satisfying the mean-field magnetohydrodynamics equation with zero mean velocity and without energy input from the outside possesses a Lyapunov function, which is a combination of the magnetic energy and the helicity. As a consequence, if the mean magnetic field remains uniformly bounded for all time, the field tends asymptotically in time to an attractor formed by force-free states.
引用
收藏
页码：5417 / 5423
页数：7
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