THE LOW MACH NUMBER LIMIT FOR ISENTROPIC COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH A REVISED MAXWELL'S LAW*

doi:10.1007/s10473-023-0314-1

数学物理学报(英文版) ›› 2023, Vol. 43 ›› Issue (3): 1239-1250.doi: 10.1007/s10473-023-0314-1

THE LOW MACH NUMBER LIMIT FOR ISENTROPIC COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH A REVISED MAXWELL'S LAW^*

Yuxi Hu¹, Zhao Wang²

1. Department of Mathematics, China University of Mining, Technology, Beijing100083, China;
2. Institute of Applied Physics, Computational Mathematics, Beijing100088, China

收稿日期:2021-10-27 修回日期:2022-08-04 出版日期:2023-06-25 发布日期:2023-06-06
作者简介:Yuxi Hu, E-mail: yxhu86@163.com; Zhao Wang, E-mail: wz_mi_hbu@yeah.net
基金资助:
Yuxi HU was supported by the NNSFC (11701556) and the Yue Qi Young Scholar Project, China University of Mining and Technology (Beijing).

THE LOW MACH NUMBER LIMIT FOR ISENTROPIC COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH A REVISED MAXWELL'S LAW^*

Yuxi Hu¹, Zhao Wang²

1. Department of Mathematics, China University of Mining, Technology, Beijing100083, China;
2. Institute of Applied Physics, Computational Mathematics, Beijing100088, China

Received:2021-10-27 Revised:2022-08-04 Online:2023-06-25 Published:2023-06-06
About author:Yuxi Hu, E-mail: yxhu86@163.com; Zhao Wang, E-mail: wz_mi_hbu@yeah.net
Supported by:
Yuxi HU was supported by the NNSFC (11701556) and the Yue Qi Young Scholar Project, China University of Mining and Technology (Beijing).

摘要/Abstract

摘要： We investigate the low Mach number limit for the isentropic compressible Navier-Stokes equations with a revised Maxwell's law (with Galilean invariance) in $\mathbb R^3$. By applying the uniform estimates of the error system, it is proven that the solutions of the isentropic Navier-Stokes equations with a revised Maxwell's law converge to that of the incompressible Navier-Stokes equations as the Mach number tends to zero. Moreover, the convergence rates are also obtained.

关键词: isentropic compressible Navier-Stokes equations, low Mach number limit, revised Maxwell's law

Abstract: We investigate the low Mach number limit for the isentropic compressible Navier-Stokes equations with a revised Maxwell's law (with Galilean invariance) in $\mathbb R^3$. By applying the uniform estimates of the error system, it is proven that the solutions of the isentropic Navier-Stokes equations with a revised Maxwell's law converge to that of the incompressible Navier-Stokes equations as the Mach number tends to zero. Moreover, the convergence rates are also obtained.

Key words: isentropic compressible Navier-Stokes equations, low Mach number limit, revised Maxwell's law

Yuxi Hu, Zhao Wang. THE LOW MACH NUMBER LIMIT FOR ISENTROPIC COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH A REVISED MAXWELL'S LAW^*[J]. 数学物理学报(英文版), 2023, 43(3): 1239-1250.

Yuxi Hu, Zhao Wang. THE LOW MACH NUMBER LIMIT FOR ISENTROPIC COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH A REVISED MAXWELL'S LAW^*[J]. Acta mathematica scientia,Series B, 2023, 43(3): 1239-1250.

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THE LOW MACH NUMBER LIMIT FOR ISENTROPIC COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH A REVISED MAXWELL'S LAW^*

THE LOW MACH NUMBER LIMIT FOR ISENTROPIC COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH A REVISED MAXWELL'S LAW^*

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