Uniform regularity for an isentropic compressible MHD- P 1 approximate model arising in radiation hydrodynamics

Tong Tang; Jianzhu Sun

Czechoslovak Mathematical Journal (2021)

  • Volume: 71, Issue: 3, page 881-890
  • ISSN: 0011-4642

Abstract

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It is well known that people can derive the radiation MHD model from an MHD- P 1 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- P 1 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- P 1 approximate model arising in radiation hydrodynamics. Here we use the bilinear commutator and product estimates to obtain our result.

How to cite

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Tang, Tong, and Sun, Jianzhu. "Uniform regularity for an isentropic compressible MHD-$P1$ approximate model arising in radiation hydrodynamics." Czechoslovak Mathematical Journal 71.3 (2021): 881-890. <http://eudml.org/doc/298070>.

@article{Tang2021,
abstract = {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.},
author = {Tang, Tong, Sun, Jianzhu},
journal = {Czechoslovak Mathematical Journal},
keywords = {uniform regularity; MHD-$P1$; compressible},
language = {eng},
number = {3},
pages = {881-890},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Uniform regularity for an isentropic compressible MHD-$P1$ approximate model arising in radiation hydrodynamics},
url = {http://eudml.org/doc/298070},
volume = {71},
year = {2021},
}

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
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 71
IS - 3
SP - 881
EP - 890
AB - 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.
LA - eng
KW - uniform regularity; MHD-$P1$; compressible
UR - http://eudml.org/doc/298070
ER -

References

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