Non-relativistic limit of the compressible Navier-Stokes-Fourier-P1approximation model arising in ra

来源 :Workshop on Conservation laws and the Applications(2014守恒律及其 | 被引量 : 0次 | 上传用户:zhaomohans
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  As is well-known that the general radiation hydrodynamics models include two main coupled parts: one is macroscopic fluid part,which is governed by the compressible Navier-Stokes-Fourier equations; the other 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 nonrelativistic limit problem for the Navier-Stokes-Fourier-P1 approximation model due to the fact that speed of the 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.
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