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arXiv · 2312.15208

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

Qiangchang Ju·Lei Li·Zhengce Zhang
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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 $\mathbb{T}^{3}$ 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 $L^\infty$ norm.

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Qiangchang Ju, Lei Li, Zhengce Zhang. 2023-12-23. Non-equilibrium-diffusion limit of the compressible Euler radiation model. https://arxiv.org/abs/2312.15208

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