On a singular limit for the compressible rotating Euler system

0531893 - MÚ 2021 RIV CH eng J - Journal Article
Nečasová, Šárka - Tang, T.
On a singular limit for the compressible rotating Euler system.
Journal of Mathematical Fluid Mechanics. Roč. 22, č. 3 (2020), č. článku 43. ISSN 1422-6928. E-ISSN 1422-6952
R&D Projects: GA ČR GA16-03230S; GA ČR(CZ) GA19-04243S
Institutional support: RVO:67985840
Keywords : compressible Euler equations * singular limit * low Mach number * low Rossby number
OECD category: Pure mathematics
Impact factor: 1.298, year: 2020
Method of publishing: Limited access
https://doi.org/10.1007/s00021-020-00504-8

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.
Permanent Link: http://hdl.handle.net/11104/0310524