Non-equilibrium-diffusion Limit of the Compressible Euler Radiation Model

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发表日期：

2025年7月12日

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Qiangchang Ju,
Lei Li,
Zhengce Zhang

摘要

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 $\mathbb {T}^{3}$ $T^{3}$ and prove the convergence of the solutions to the limiting system in the non-equilibrium-diffusion regime. Moreover, the initial layer for the radiative density is constructed to get the strong convergence in $L^\infty $ $L^{\infty}$ norm.