Title: Low Mach number limit for the diffusion approximation model in radiation hydrodynamics at equilibrium-diffusion regime Show Chinese title

Title: 平衡扩散区域中辐射流体力学扩散近似模型的低马赫数极限

Abstract: The low Mach number limit for the compressible viscous diffusion approximation model arising in radiation hydrodynamics is rigorously justified. For the 3-D Cauchy problem, the solutions in an equilibrium diffusion regime are shown to converge to the solutions of an incompressible Navier-Stokes equations locally and globally in time as Mach number goes to zero, when the effect of the small temperature variation upon the limit is taken into account. Show Chinese abstract

Abstract: 压缩粘性扩散近似模型在辐射流体力学中的低马赫数极限被严格证明。 对于三维柯西问题，在平衡扩散状态下，当考虑小温度变化对极限的影响时，解在马赫数趋于零时局部和全局地收敛到不可压缩纳维-斯托克斯方程的解。