Abstract
One considers the linear oscillations of a perfectly conducting nonviscous plasma in an external rectilinear magnetic field. One studies the frequency spectrum corresponding to a fixed harmonic mode. One has investigated the asymptotic behavior of the discrete spectrum at infinity and around the boundary of the essential spectrum.
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Literature cited
C. Mercier and H. Luc, “The MHD approach to the problem of plasma confinement in closed magnetic configurations,” in: EUR 5127e, Commission of the European Communities, Luxembourg (1974), pp. 5–157.
A. L. Krylov, A. E. Lifshits, and E. N. Fedorov, “On the resonance properties of magnetospheres,” Fiz. Zemli, No. 6, 49–58 (1981).
Additional information
Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 147, pp. 120–123, 1985.
The author expresses his deep gratitude to his scientific adviser Professor M. Sh. Birman for his help and for numerous discussions and to A. E. Lifshits for consultations and for his interest in this paper.
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Raikov, G.D. Spectral properties of a linearized magnetohydrodynamics model. J Math Sci 37, 866–868 (1987). https://doi.org/10.1007/BF01387725
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DOI: https://doi.org/10.1007/BF01387725