On the breakdown of acceleration waves in radiative magneto-fluids

The propagation of acceleration waves in an optically thick medium of electrically conducting fluids was examined. The wave propagation of radiation pressure, effects radiation energy density and heat transfer through thermal radiation and thermal conduction were considered. The growth equation for the variation of amplitude of the wave was solved. It is concluded that all compressive waves with initial amplitude greater than a critical value will grow and terminate into a shock wave due to nonlinear steeping, while all expansion waves will decay out. A critical stage when the compressive wave will either grow or decay is discussed. The effects of the radiation pressure and the radiative heat transfer on the shock formation are analyzed.