Incompressible limit of the compressible micropolar fluid model without angular viscosities in a 3D bounded domain

In this paper, we consider the incompressible limit of a compressible micropolar fluid model without angular viscosities for general initial data in a 3 D bounded domain with slip boundary conditions. By developing an elaborate weighted energy method, we derive the uniform estimates of solutions in a time interval, independent of the Mach number. Based on these uniform estimates, the incompressible limit of the compressible micropolar fluid model is rigorously justified via utilizing the Helmholtz decomposition method and compactness arguments.

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Publication Details

Journal
Journal of Mathematical Analysis and Applications
Published
2026-09-14
DOI
https://doi.org/10.1016/j.jmaa.2026.131081
Primary Topic
Navier-Stokes equation solutions
Type
article
Field-Weighted Citation Impact
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article

Incompressible limit of the compressible micropolar fluid model without angular viscosities in a 3D bounded domain

Tao Jiang, Yuzhu Wang
Journal of Mathematical Analysis and Applications
Navier-Stokes equation solutions
article

Incompressible limit of the compressible micropolar fluid model without angular viscosities in a 3D bounded domain

Tao Jiang, Yuzhu Wang
article en

Abstract

In this paper, we consider the incompressible limit of a compressible micropolar fluid model without angular viscosities for general initial data in a 3 D bounded domain with slip boundary conditions. By developing an elaborate weighted energy method, we derive the uniform estimates of solutions in a time interval, independent of the Mach number. Based on these uniform estimates, the incompressible limit of the compressible micropolar fluid model is rigorously justified via utilizing the Helmholtz decomposition method and compactness arguments.

Journal of Mathematical Analysis and ApplicationsVol. 566(2)
Nanjing University of Science and Technology (CN), Nanjing University (CN)
Affordable and clean energy
Openalex Percentile: Top 6%
Navier-Stokes equation solutions
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