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Keywords:
uniform regularity; MHD-$P1$; compressible
uniform regularity; MHD-$P1$; compressible
Summary:
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.
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