On a singular limit for stratified compressible fluids

0490767 - MÚ 2019 RIV GB eng J - Journal Article
Bruell, G. - Feireisl, Eduard
On a singular limit for stratified compressible fluids.
Nonlinear Analysis: Real World Applications. Roč. 44, December (2018), s. 334-346. ISSN 1468-1218. E-ISSN 1878-5719
EU Projects: European Commission(XE) 320078 - MATHEF
Institutional support: RVO:67985840
Keywords : anelastic limit * complete Euler system * measure-valued solution * shallow water equation
OECD category: Pure mathematics
Impact factor: 2.085, year: 2018
https://www.sciencedirect.com/science/article/pii/S1468121818301585?via%3Dihub

We consider a singular limit problem for the complete compressible Euler system in the low Mach and strong stratification regime. We identify the limit problem – the anelastic Euler system – in the case of well prepared initial data. The result holds in the large class of the dissipative measure-valued solutions of the primitive system. Applications are discussed to the driven shallow water equations.
Permanent Link: http://hdl.handle.net/11104/0284916