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Astron. Astrophys. 362, 359-370 (2000)

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Time-dependent analytical solutions for MHD surface waves propagating in a compressible plasma

Z.E. Musielak 1,3, P. Huang 2 and P. Ulmschneider 3

1 Department of Physics, University of Texas at Arlington, Arlington, TX 76019, USA
2 Integraph Corporation, Huntsville, AL 35894-0001, USA
3 Institut für Theoretische Astrophysik der Universität Heidelberg, Tiergartenstrasse 15, 69121 Heidelberg, Germany

Received 18 January 2000 / Accepted 7 July 2000


The propagation of linear MHD surface waves in a compressible plasma with a discontinuous interface in the magnetic field and temperature is considered. The initial perturbation is applied only to a vorticity line, which is located on the RHS of the discontinuity. Two different surface waves exist in this model, one associated with the vorticity line and the other confined to the discontinuity. Time-dependent analytical solutions for the wave velocity perturbations are obtained for both surface waves by applying Laplace transforms. The solutions are used to investigate the effects caused by compressibility on the propagation of these waves. It is shown that the compressibility effects are most important in the vicinity of the vorticity line and at the magnetic interface, and that they affect differently the behavior of the surface waves.

Key words: Magnetohydrodynamics (MHD) – Sun: magnetic fields – Sun: chromosphere – Sun: corona – waves

Send offprint requests to: P. Ulmschneider

Correspondence to: ulmschneider@ita.uni-heidelberg.de

© European Southern Observatory (ESO) 2000

Online publication: October 30, 19100