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Nonlinear stability of axisymmetric ideal magnetohydrodynamic flows

Published online by Cambridge University Press:  29 July 2003

A. H. KHATER ,
D. K. CALLEBAUT  and
S. M. MOAWAD
A. H. KHATER
Affiliation:
Department of Mathematics, Faculty of Science, Cairo University, Beni-Suef, Egypt
D. K. CALLEBAUT
Affiliation:
Departement Natuurkunde, Universiteit Antwerpen (UIA), Universiteitsplein 1, B-2610 Antwerp, Belgium
S. M. MOAWAD
Affiliation:
Department of Mathematics, Faculty of Science, Cairo University, Beni-Suef, Egypt
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Abstract

In this paper the general theory developed by Vladimirov et al. is extended to nonlinear (Lyapunov) stability for axisymmetric (invariant under rotations around a fixed axis) solutions of the ideal incompressible magnetohydrodynamic flows for a particular situation, namely arbitrary field and poloidal flow. The appropriate norm is a sum of magnetic and kinetic energies and the mean square vector potential of the magnetic field.

Type
Papers
Information
Journal of Plasma Physics , Volume 69 , Issue 4 , August 2003 , pp. 339 - 362
Copyright
2003 Cambridge University Press

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