Astronomy and Astrophysics – Astrophysics
Scientific paper
Jun 1982
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982ap%26ss..84..477s&link_type=abstract
Astrophysics and Space Science, vol. 84, no. 2, June 1982, p. 477-484.
Astronomy and Astrophysics
Astrophysics
3
Astrophysics, Cosmic Plasma, Magnetohydrodynamic Stability, Plasma Equilibrium, Solar Corona, Stellar Atmospheres, Boundary Value Problems, Compressible Fluids, Conducting Fluids, Kelvin-Helmholtz Instability, Plasma Compression, Taylor Instability
Scientific paper
The MHD stability of a streaming plasma of variable density is of relevance in several astrophysical situations, e.g., in theories of sunspot magnetic fields, heating of the solar corona, and the stability of stellar atmospheres in magnetic fields. In this paper, a generalized theory is given of the MHD stability of the interface between two infinitely conducting compressible plasmas, the latter accelerated perpendicular to the interface and streaming parallel to the interface, and subjected to a constant magnetic field parallel to the streaming direction. The method used is based on that of Plesset and Hsieh (1964) for the hydrodynamical case, and the general dispersion equation is found to involve Whittaker's functions and their first derivatives. The familiar Rayleigh-Taylor and Kelvin-Helmholtz instability problems are recovered from the general dispersion relation in the appropriate special cases.
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