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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2603.15064 |
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| _version_ | 1866912967930413056 |
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| author | Yu, Yajia Su, Chenxi Lu, Ming |
| author_facet | Yu, Yajia Su, Chenxi Lu, Ming |
| contents | In this article, we study the singular limit of non-isentropic compressible rotating fluids. We incorporate the capillary effect into both the $α=1$ and $α=0$ cases, and investigate the Navier-Stokes-Korteweg equations involving the terms of low Mach number, low Rossby number and high Reynolds number. When $α=1$, the dispersion estimate of the acoustic wave equation is derived by Rage's theorem. When $α=0$, we obtain the convergence results by error estimate. Moreover, we obtain that the three dimensions compressible Navier-Stokes-Korteweg equations converge to the two dimensions incompressible Euler equations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_15064 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Singular limits for non-isentropic compressible rotating fluids Yu, Yajia Su, Chenxi Lu, Ming Analysis of PDEs In this article, we study the singular limit of non-isentropic compressible rotating fluids. We incorporate the capillary effect into both the $α=1$ and $α=0$ cases, and investigate the Navier-Stokes-Korteweg equations involving the terms of low Mach number, low Rossby number and high Reynolds number. When $α=1$, the dispersion estimate of the acoustic wave equation is derived by Rage's theorem. When $α=0$, we obtain the convergence results by error estimate. Moreover, we obtain that the three dimensions compressible Navier-Stokes-Korteweg equations converge to the two dimensions incompressible Euler equations. |
| title | Singular limits for non-isentropic compressible rotating fluids |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2603.15064 |