Uniform Regularity for an Isentropic Compressible MHD-P1 Approximate Model Arising in Radiation Hydrodynamics

被引：0

作者：

Tang, Tong ^{[1
]}

Sun, Jianzhu ^{[2
]}

机构：

[1] Yangzhou Univ, Sch Math Sci, Yangzhou 225002, Jiangsu, Peoples R China

[2] Nanjing Forestry Univ, Dept Appl Math, 159 Longpan Rd, Nanjing 210037, Peoples R China

来源：

CZECHOSLOVAK MATHEMATICAL JOURNAL | 2021年 / 71卷 / 03期

关键词：

uniform regularity; MHD-P1; compressible; LOCAL WELL-POSEDNESS; BLOW-UP CRITERION; MACH NUMBER LIMIT; EULER;

D O I：

10.21136/CMJ.2021.0132-20

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：881 / 890

页数：10

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