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As is well-known that the general radiation hydrodynamics models include twomainly coupled parts: one is macroscopic fluid part, which is governed by thecompressible Navier-Stokes-Fourier equations, another is radiation field part,which is described by the transport equation of photons. Under the two physicalapproximations: "gray" approximation and P1 approximation, one can derive theso-called Navier-Stokes-Fourier-P1 approximation radiation hydrodynamics modelfrom the general one. In this paper we study the non-relativistic limit problemfor the Navier-Stokes-Fourier-P1 approximation model due to the fact that thespeed of light is much larger than the speed of the macroscopic fluid. Ourresults give a rigorous derivation of the widely used macroscopic model inradiation hydrodynamics.

Non-relativistic limit of the compressible Navier-Stokes-Fourier-P1 approximation model arising in radiation hydrodynamics