It is well known that people can derive the radiation MHD model from an MHD-P1 approximate model. As pointed out by F. Xie and C. Klingenberg (2018), the uniform regularity estimates play an important role in the convergence from an MHD-P1 approximate model to the radiation MHD model. The aim of this paper is to prove the uniform regularity of strong solutions to an isentropic compressible MHD-P1 approximate model arising in radiation hydrodynamics. Here we use the bilinear commutator and product estimates to obtain our result.

中文翻译：

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辐射流体力学中等熵可压缩 MHD-P1 近似模型的均匀规律

众所周知，人们可以从MHD- P 1 近似模型中推导出辐射MHD模型。正如 F. Xie 和 C. Klingenberg (2018) 所指出的，均匀规律估计在从 MHD- P 1 近似模型到辐射 MHD 模型的收敛中起着重要作用。本文的目的是证明辐射流体动力学中出现的等熵可压缩 MHD- P 1 近似模型的强解的均匀规律性。这里我们使用双线性换向器和乘积估计来获得我们的结果。