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
Keywords: uniform regularity; MHD-$P1$; compressible
@article{10_21136_CMJ_2021_0132_20,
author = {Tang, Tong and Sun, Jianzhu},
title = {Uniform regularity for an isentropic compressible {MHD-}$P1$ approximate model arising in radiation hydrodynamics},
journal = {Czechoslovak Mathematical Journal},
pages = {881--890},
year = {2021},
volume = {71},
number = {3},
doi = {10.21136/CMJ.2021.0132-20},
mrnumber = {4295252},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2021.0132-20/}
}
TY - JOUR AU - Tang, Tong AU - Sun, Jianzhu TI - Uniform regularity for an isentropic compressible MHD-$P1$ approximate model arising in radiation hydrodynamics JO - Czechoslovak Mathematical Journal PY - 2021 SP - 881 EP - 890 VL - 71 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2021.0132-20/ DO - 10.21136/CMJ.2021.0132-20 LA - en ID - 10_21136_CMJ_2021_0132_20 ER -
%0 Journal Article %A Tang, Tong %A Sun, Jianzhu %T Uniform regularity for an isentropic compressible MHD-$P1$ approximate model arising in radiation hydrodynamics %J Czechoslovak Mathematical Journal %D 2021 %P 881-890 %V 71 %N 3 %U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2021.0132-20/ %R 10.21136/CMJ.2021.0132-20 %G en %F 10_21136_CMJ_2021_0132_20
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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