Volume 46, Issue 6 pp. 7029-7044
RESEARCH ARTICLE

On the low Mach number limit of the compressible viscous micropolar fluid model

Jianwei Yang

Corresponding Author

Jianwei Yang

School of Mathematics and Statistics, North China University of Water Resources and Electric Power, Zhengzhou, China

Correspondence

Jianwei Yang, School of Mathematics and Statistics, North China University of Water Resources and Electric Power, Zhengzhou 450045, China.

Email: [email protected]

Communicated by: H. Li

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Xiao Yang

Xiao Yang

School of Mathematics and Statistics, North China University of Water Resources and Electric Power, Zhengzhou, China

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Jianqin Yang

Jianqin Yang

School of Mathematics and Information Science, Nanchang Normal University, Nanchang, China

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Qihong Shi

Qihong Shi

Department of Mathematics, Lanzhou University of Technology, Lanzhou, China

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First published: 13 December 2022

Abstract

In this paper, we consider the low Mach number limit problem for the compressible viscous micropolar fluid model based on the concept of dissipative measure-valued solutions. We prove that the dissipative measure-valued solutions of the compressible micropolar fluid model converge to the smooth solution of the incompressible micropolar system in the case of well-prepared initial data when the Mach number tends to zero.

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