0541505 - MÚ 2022 RIV CH eng J - Journal Article
Březina, J. - Mácha, Václav
Low stratification of the complete Euler system.
Journal of Evolution Equations. Roč. 21, č. 1 (2021), s. 735-761. ISSN 1424-3199. E-ISSN 1424-3202
R&D Projects: GA ČR(CZ) GA18-05974S
Institutional support: RVO:67985840
Keywords : compressible Navier-Stokes equations * Euler system
OECD category: Pure mathematics
Impact factor: 1.261, year: 2021
Method of publishing: Limited access
https://doi.org/10.1007/s00028-020-00599-6

The present paper takes advantage of the concept of dissipative measure-valued solutions to show the rigorous derivation of the Euler-Boussinesq (EB) system that has been successfully used in various meteorological models. In particular, we show that EB system can be obtained as a singular limit of the complete Euler system. We provide two types of result-firstly, we treat the case of well-prepared initial data for any sufficiently regular bounded domain. Secondly, we use the dispersive estimates for acoustic equation to tackle the case of the ill-prepared initial data on an unbounded exterior domain.
Permanent Link: http://hdl.handle.net/11104/0319068