2015/11/07 by Song Jiang, Fucai Li, Feng Xie · 1 citation
Mathematics · #math.AP
published as SIAM J. Math. Anal., 47(2015), 3726-3746 · 20 pages, Radiation Hydrodynamics, Compressible Navier-Stokes-Fourier system, P1 approximation, Gray approximation, Non-relativistic limit. arXiv admin note: substantial text overlap with arXiv:1309.3668
arxiv created 2015/11/07 · arxiv updated 2015/11/10
As is well-known that the general radiation hydrodynamics models include two mainly coupled parts: one is macroscopic fluid part, which is governed by the compressible Navier-Stokes-Fourier equations, another is radiation field part, which is described by the transport equation of photons. Under the two physical approximations: "gray" approximation and P1 approximation, one can derive the so-called Navier-Stokes-Fourier-P1 approximation radiation hydrodynamics model from the general one. In this paper we study the non-relativistic limit problem for the Navier-Stokes-Fourier-P1 approximation model due to the fact that the speed of light is much larger than the speed of the macroscopic fluid. Our results give a rigorous derivation of the widely used macroscopic model in radiation hydrodynamics.