Convergence rate of fully compressible Navier-Stokes equations in three-dimensional bounded domains

Min Liang; Yaobin Ou

doi:10.3934/dcdsb.2022142

Article Contents

2023, Volume 28, Issue 3: 1673-1695. Doi: 10.3934/dcdsb.2022142

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Convergence rate of fully compressible Navier-Stokes equations in three-dimensional bounded domains

Min Liang and
Yaobin Ou^,

School of Mathematics, Renmin University of China, Beijing 100872, China

^*Corresponding author: Yaobin Ou
^*Corresponding author: Yaobin Ou

Received: November 2021

Revised: April 2022

Early access: July 2022

Published: March 2023

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Abstract

For the purpose of engineering, it is important to study the convergent rates in the process of low Mach number limit. However, there are only a few results on this issue, which focus on the cases of isentropic regime or the ones without solid boundaries. In this paper, we obtain the convergence rates for the local strong solutions of the non-isentropic compressible Navier-Stokes equations with well-prepared initial data and Navier-slip boundary condition in a three-dimensional bounded domain as the Mach number vanishes.

Keywords:

Low Mach number limit,
non-isentropic compressible Navier-Stokes equations,
Navier-slip boundary condition,
convergence rate.

Mathematics Subject Classification: Primary: 35B40, 35M33, 35Q35; Secondary: 76W05.

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References

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