Title
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Nonlinear magnetohydrodynamic stability for axisymmetric incompressible ideal flows
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Author
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Abstract
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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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Language
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English
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Source (journal)
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Journal of plasma physics. - London
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Publication
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London
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2001
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ISSN
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0022-3778
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DOI
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10.1017/S0022377801001155
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Volume/pages
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66
:1/2
(2001)
, p. 1-25
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ISI
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000173880500001
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Full text (Publisher's DOI)
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