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On the existence of resistive magnetohydrodynamic equilibria

Published online by Cambridge University Press:  01 June 2007

H. TASSO  and
G. N. THROUMOULOPOULOS
H. TASSO
Affiliation:
Max-Planck-Institut für Plasmaphysik, Euratom Association, 85748 Garching bei München, Germany (het@ipp.mpg.de)
G. N. THROUMOULOPOULOS
Affiliation:
University of Ioannina, Association Euratom-Hellenic Republic, Department of Physics, GR 451 10 Ioannina, Greece (gthroum@cc.uoi.gr)
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Abstract

A necessary condition for the existence of general dissipative magneto-hydrodynamic equilibria is derived. The derivation comprises Ohm's law and the existence of magnetic surfaces, only in the sense of the Kolmogorov–Arnold–Moser (KAM) theorem. All other equations describing the system are only required for evaluating the condition for a specific case.

Type
Letter to the Editor
Information
Journal of Plasma Physics , Volume 73 , Issue 3 , June 2007 , pp. 285 - 287
Copyright
Copyright © Cambridge University Press 2007

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References

[1]Spitzer, L. 1962 Physics of Fully Ionized Gases. Wiley: New York.Google Scholar
[2]Moser, J. 1962 Nachr. Akad. Wiss. Goettingen Math. Phys. K1, 1.Google Scholar
[3]Kruskal, M. D. and Kulsrud, R. M. 1958 Phys. Fluids 1, 265.CrossRefGoogle Scholar
[4]Spada, M. and Wobig, H. 1992 J. Phys. A: Math. Gen. 25, 1575.CrossRefGoogle Scholar
[5]Throumoulopoulos, G. N. and Tasso, H. 2003 Phys. Plasmas 10, 2382.Google Scholar