On singular limits arising in the scale analysis of stratified fluid flows

0456564 - MÚ 2017 RIV SG eng J - Journal Article
Feireisl, Eduard - Klein, R. - Novotný, A. - Zatorska, E.
On singular limits arising in the scale analysis of stratified fluid flows.
Mathematical Models and Methods in Applied Sciences. Roč. 26, č. 3 (2016), s. 419-443. ISSN 0218-2025. E-ISSN 1793-6314
Grant - others:European Research Council(XE) MATHEF(320078)
Institutional support: RVO:67985840
Keywords : isentropic fluid flow * strong stratification * singular limit * anelastic approximation
Subject RIV: BA - General Mathematics
Impact factor: 2.860, year: 2016
http://www.worldscientific.com/doi/10.1142/S021820251650007X

We study the low Mach low Freude numbers limit in the compressible Navier–Stokes equations and the transport equation for evolution of an entropy variable—the potential temperature. We consider the case of well-prepared initial data on “flat” torus and Reynolds number tending to infinity, and the case of ill-prepared data on an infinite slab. In both cases, we show that the weak solutions to the primitive system converge to the solution to the anelastic Navier–Stokes system and the transport equation for the second-order variation of the potential temperature.
Permanent Link: http://hdl.handle.net/11104/0257086