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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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Table of 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.