Title
Nonlinear magnetohydrodynamic stability for axisymmetric incompressible ideal flowsNonlinear magnetohydrodynamic stability for axisymmetric incompressible ideal flows
Author
Faculty/Department
Faculty of Sciences. Physics
Research group
Department of Physics
Non-linear Waves
Publication type
article
Publication
London,
Subject
Physics
Source (journal)
Journal of plasma physics. - London
Volume/pages
66(2001):1/2, p. 1-25
ISSN
0022-3778
ISI
000173880500001
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
In this paper, the general theory developed by Vladimirov and Moffatt [J Fluid Mech. 283, 125-139 (1995)] and Vladimirov et al. [J. Fluid Mech. 329, 187205 (1996); J. Plasma Phys. 57, 89-120 (1997)] is extended to nonlinear (Lyapunov) stability for axisymmetric (invariant. under rotations around fixed axis) solutions of the ideal incompressible magnetohydrodynamic flows for a situation of arbitrary flow and a poloidal field. The appropriate norm is the sum of magnetic and kinetic energies and the mean square vector potential of the magnetic field.
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