Uniform regularity for an isentropic compressible MHD-$P1$ approximate model arising in radiation hydrodynamics
Czechoslovak Mathematical Journal, Tome 71 (2021) no. 3, pp. 881-890.

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It is well known that people can derive the radiation MHD model from an \hbox {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.
DOI : 10.21136/CMJ.2021.0132-20
Classification : 35B25, 35Q30, 35Q35
Keywords: uniform regularity; MHD-$P1$; compressible
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Tang, Tong; Sun, Jianzhu. Uniform regularity for an isentropic compressible MHD-$P1$ approximate model arising in radiation hydrodynamics. Czechoslovak Mathematical Journal, Tome 71 (2021) no. 3, pp. 881-890. doi : 10.21136/CMJ.2021.0132-20. http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2021.0132-20/

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