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arXiv · 1910.00816

On a singular limit for the compressible rotating Euler system

Sarka Necasova·Tong Tang
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Abstract

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 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.

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Sarka Necasova, Tong Tang. 2019-10-02. On a singular limit for the compressible rotating Euler system. https://arxiv.org/abs/1910.00816

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