  In this paper, we are concerned with the non-relativistic limit of a class of
computable approximation models for radiation hydrodynamics. The models consist
of the compressible Euler equations coupled with moment closure approximations
to the radiative transfer equation. They are first-order partial differential
equations with source terms. As hyperbolic relaxation systems, they are showed
to satisfy the structural stability condition proposed by W.-A. Yong (1999).
Base on this, we verify the non-relativistic limit by combining an energy
method with a formal asymptotic analysis.
