Non-equilibrium-diffusion limit of the compressible Euler radiation model

2023/12/23 by Qiangchang Ju, Lei Li, Ju, Qiangchang +3 · 1 citation
Engineering · Mathematics · #35M33 #35Q30 #76N99 #Analysis of PDEs (math.AP) #Computational Fluid Dynamics and Aerodynamics #FOS: Mathematics #Gas Dynamics and Kinetic Theory #Navier-Stokes equation solutions

paper · pdf · doi:10.48550/arxiv.2312.15208

openalex publication_date 2023/12/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We justify rigorously the non-equilibrium-diffusion limit of the compressible Euler model coupled with a radiative transfer equation arising in radiation hydrodynamics. For general initial data, we establish the uniform existence of the solution to the coupled model in \mathbbT³ and prove the convergence of the solutions to the limiting system in the nonequilibrium-diffusion regime. Moreover, the initial layer for the radiative density is constructed to get the strong convergence in L^∞ norm.

Cited by

• Dissipative structure and decay rate for an inviscid non-equilibrium radiation hydrodynamics system

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