A H Khater and S M Moawad 2003 Plasma Phys. Control. Fusion 45 265 doi:10.1088/0741-3335/45/3/307
A H Khater and S M Moawad
Show affiliationsThe equilibrium and stability properties of ideal compressible magnetohydrodynamic (MHD) flows are investigated. The domain is taken to be cylindrical with arbitrary cross-section. Variational principles for plasma equilibria with mass flow are formulated, where we associate the cylindrical MHD equilibrium states to critical points of a conserved Lyapunov functional. This functional consists of the sum of the total energy, the mass, the circulation along field lines (cross-helicity), the momentum and the magnetic helicity. Lyapunov stability conditions for compressible cylindrical ideal MHD flows with arbitrary cross-section are determined.
52.30.Cv Magnetohydrodynamics (including electron magnetohydrodynamics)
52.35.-g Waves, oscillations, and instabilities in plasmas and intense beams
Issue 3 (March 2003)
Received 18 July 2002, in final form 10 January 2003
Published 17 February 2003
A H Khater and S M Moawad 2003 Plasma Phys. Control. Fusion 45 265
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