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.
Authors
- Tao Jiang (ORCID: https://orcid.org/0000-0001-8422-4463)
- Yuzhu Wang (ORCID: https://orcid.org/0000-0003-0449-2973)
Institutions
- Nanjing University of Science and Technology (CN)
- Nanjing University (CN)
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
- 0.00