Nonrelativistic Limit of the Compressible Navier--Stokes--Fourier--P1 Approximation Model Arising in Radiation Hydrodynamics

• DOI: 10.1137/140987596
• Publication Date: 2015-10-01T12:57:20Z
• Authors: Song Jiang; Fucai Li; Feng Xie
• Keywords: Mathematics - Analysis of PDEs; FOS: Mathematics; 0101 mathematics; 01 natural sciences; Analysis of PDEs (math.AP)

It is well known that the general radiation hydrodynamics models include two mainly coupled parts: one macroscopic fluid part, which governed by compressible Navier--Stokes--Fourier equations; another field described transport equation of photons. Under physical approximations, "gray" approximation and P1 approximation, can derive so-called Navier--Stokes--Fourier--P1 model from one. In this paper, we study nonrelativistic limit problem for due to fact speed light much larger than fluid. Our results give a rigorous derivation widely used in hydrodynamics.