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Nonlinear stability of axisymmetric ideal magnetohydrodynamic flows
Published online by Cambridge University Press: 29 July 2003
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.
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- 2003 Cambridge University Press
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