Geodesic
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.
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

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