International Journal of Mathematics and Mathematical Sciences
Volume 13 (1990), Issue 4, Pages 755-761

Analysis of a model in solar magnetohydrostatics

David Eberly

Division of Mathematics, Computer Science, and Statistics, University of Texas, San Antonio 78285, Texas, USA

Received 7 June 1988; Revised 26 January 1989

Copyright © 1990 David Eberly. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The model for resistive diffusion of a force-free magnetic field in a compressible plasma is analysed. Such a model has been suggested for describing the behavior of the solar outer atmosphere and that of solar flares. Previous analysis of the model involved assumptions of linear plasma velocity and constant magnetic energy. This paper deals with nonconstant magnetic energy in the cases of linear plasma velocity and planar plasma velocity. Some necessary conditions on the plasma direction vectors are derived. Finally, some aspects of the model assumptions are discussed, including nonnormality of initial data vectors to initial surfaces.