We are concerned with the vanishing viscosity limit of the 2D compressible micropolar equations to the Riemann solution of the 2D Euler equations which admit a planar rarefaction wave. In this article, the key point of the analysis is to introduce the hyperbolic wave, which helps us obtain the desired uniform estimates with respect to the viscosities. Moreover, the proper combining of rotation terms and damping term is also important, which contributes to closing the basic energy estimates. Finally, a family of smooth solutions for the 2D micropolar equations converging to the corresponding planar rarefaction wave solution with arbitrary strength is pursued.

中文翻译：

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平面稀疏波的二维微极性方程对Riemann问题的消失粘度极限

我们关注的是二维可压缩微极性方程的粘性极限消失到二维Euler方程的Riemann解，该方程允许平面稀疏波。在本文中，分析的重点是引入双曲线波，这有助于我们获得所需的粘度均匀估计值。此外，旋转项和阻尼项的适当组合也很重要，这有助于结束基本能量估算。最后，针对二维微极性方程，寻求一族平滑解，并收敛到具有任意强度的相应平面稀疏波解。