In this paper, we study the inviscid and zero Froude number limits of the viscous shallow water system. We prove that the limit system is represented by the incompressible Euler equations on the whole space. Furthermore, the rate of convergence is also obtained.

中文翻译：

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粘性浅水系统的无粘性、零弗劳德数极限

在本文中，我们研究了粘性浅水系统的无粘性和零弗劳德数极限。我们证明了极限系统在整个空间上由不可压缩的欧拉方程表示。此外，还获得了收敛速度。