International Journal of Mathematics and Mathematical Sciences
Volume 29 (2002), Issue 6, Pages 341-348

Effect of the radiative damping on magnetohydrodynamic waves in an isothermal medium

Hadi Alkahby,1 Andrew Talmadge,1 and Abraham Jalbout2

1Department of Mathematics, Dillard University, New Orleans 70122, LA, USA
2Department of Chemistry, University of New Orleans, New Orleans 70148, LA, USA

Received 30 April 2001

Copyright © 2002 Hadi Alkahby et al. 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.


We investigate the effect of the heat radiation on the reflection and dissipation of upward propagating waves in an isothermal atmosphere. It is shown that the magnetic field produces a totally reflecting layer. Consequently, the atmosphere can be divided into two distinct regions. In the lower region, the solution can be written as a linear combination of an upward and a downward propagating wave, and in the upper region the solution, which satisfies the upper boundary condition, decays exponentially or behaves like a constant. These two regions are connected by a region in which the reflection and transmission of the waves takes place. Moreover, the heat radiation affects only the lower region and changes the sound speed from the adiabatic value to the isothermal one. The reflection coefficient and the attenuation factor of the amplitude of the waves are derived for all values of the heat radiation coefficient. Finally, the conclusions are presented in connection with the heating process of the solar atmosphere.