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

  • Yuxi Hu ,
  • Zhao Wang
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  • 1. Department of Mathematics, China University of Mining, Technology, Beijing100083, China;
    2. Institute of Applied Physics, Computational Mathematics, Beijing100088, China
Yuxi Hu, E-mail: yxhu86@163.com; Zhao Wang, E-mail: wz_mi_hbu@yeah.net

Received date: 2021-10-27

  Revised date: 2022-08-04

  Online published: 2023-06-06

Supported by

Yuxi HU was supported by the NNSFC (11701556) and the Yue Qi Young Scholar Project, China University of Mining and Technology (Beijing).

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.

Cite this article

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 . DOI: 10.1007/s10473-023-0314-1

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