Long-time asymptotics of the mean-field magnetohydrodynamics equation

Authors
Nunez, M
Citation
M. Nunez, Long-time asymptotics of the mean-field magnetohydrodynamics equation, J PHYS A, 34(26), 2001, pp. 5417-5423
Citations number
11
Categorie Soggetti
Physics
Journal title
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN journal
03054470 → ACNP
Volume
34
Issue
26
Year of publication
2001
Pages
5417 - 5423
Database
ISI
SICI code
0305-4470(20010706)34:26<5417:LAOTMM>2.0.ZU;2-G
Abstract
It is shown that a magnetic field satisfying the mean-field magnetohydrodyn amics equation with zero mean velocity and without energy input from the ou tside possesses a Lyapunov function, which is a combination of the magnetic energy and the helicity. As a consequence, if the mean magnetic field rema ins uniformly bounded for all time, the field tends asymptotically in time to an attractor formed by force-free states.