The work addresses a singular limit for a rotating compressible Euler system in the low Mach number and low Rossby number regime. Based on the concept of dissipative measure-valued solution, the quasi-geostrophic system is identified as the limit problem in the case of ill-prepared initial data. The ill-prepared initial data will cause rapidly oscillating acoustic waves. Using dispersive estimates of Strichartz type, the effect of the acoustic waves in the asymptotic limit is eliminated.

中文翻译：

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关于可压缩旋转欧拉系统的奇异极限

这项工作解决了在低马赫数和低罗斯比数体系下旋转可压缩欧拉系统的奇异极限。基于耗散量值解的概念，在原始数据准备不充分的情况下，准地转系统被认为是极限问题。原始数据准备不充分会引起快速振荡的声波。使用Strichartz类型的色散估计，可以消除渐近极限中的声波影响。