International Journal of Mathematics and Mathematical Sciences
Volume 29 (2002), Issue 7, Pages 395-415
doi:10.1155/S0161171202010827
On the structure of ionizing shock waves in magnetofluiddynamics
1Institute for Studies in Theoretical Physics and Mathematics, P.O. Box 19395-5746, Tehran, Iran
2School of Sciences, Tarbiat Modarres University, P.O. Box 14155-4838, Tehran, Iran
3Department of Mathematical Sciences, Sharif University of Technology, P.O. Box 11365-9415, Tehran, Iran
Received 29 August 2000
Copyright © 2002 A. Aghajani and M. Hesaaraki. 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.
Abstract
Ionizing shock waves in magnetofluiddynamics occur when the
coefficient of electrical conductivity is very small ahead of the
shock and very large behind it. For planner motion of plasma, the
structure of such shock waves are stated in terms of a system of
four-dimensional equations. In this paper, we show that for the
above electrical conductivity as well as for limiting cases, that
is, when this coefficient is zero ahead of the shock and/or is
infinity behind it, ionizing fast, slow, switch-on and switch-off
shocks admit structure. This means that physically these shocks
occur.