In this paper, we consider a rotating compressible Navier–Stokes system in a finite cylinder, by incorporating the effect of centrifugal force. The Mach number and Froude number admit the same scale. By using the relative entropy method, we prove that the scaled problem approaches the static profile as the Mach and Reynolds numbers tend to zero and infinity respectively, with well-prepared initial data. In particular, the property of radial symmetry resulting from the centrifugal force is crucial in the whole analysis.

中文翻译：

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有限圆柱体中具有离心力的可压缩流体旋转的奇异极限

在本文中，我们考虑了离心力的作用，在有限的圆柱体中考虑了旋转可压缩的Navier–Stokes系统。马赫数和弗洛德数采用相同的标度。通过使用相对熵方法，我们证明了在准备好的初始数据的情况下，随着马赫数和雷诺数分别趋于零和无穷大，缩放后的问题趋于静态分布。特别地，由离心力产生的径向对称特性在整个分析中至关重要。