Abstract
ABSTRACT Radiation hydrodynamical equations with Compton scattering are presented in a convenient way; equations are available in the subrelativistic regime of $k_{\rm B}T/(m_{\rm e}c^2) \lesssim 0.1$, $h\nu /(m_{\rm e}c^2) \lesssim 0.1$ (or $k_{\rm B}T_{\rm rad}/(m_{\rm e}c^2) \lesssim 0.1$), and $v/c \lesssim 0.1$, where T is the electron temperature, ν the photon frequency, Trad the photon temperature, and v the fluid bulk velocity. Several basic concepts and radiation hydrodynamical phenomena under Compton scattering are briefly discussed; e.g. electron-scattering opacity and the Eddington luminosity, optical depth and a static atmosphere, the photon trapping radius, the magic terminal speed, the pseudo-photosphere of radiative winds, the explicit form of basic equations for steady flows, radiation acoustic wave, and so on.
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