Inviscid incompressible limit under mild stratification: a rigorous derivation of the Euler-Boussinesq system

0431961 - MÚ 2015 RIV US eng J - Journal Article
Feireisl, Eduard - Novotný, A.
Inviscid incompressible limit under mild stratification: a rigorous derivation of the Euler-Boussinesq system.
Applied Mathematics and Optimization. Roč. 70, č. 2 (2014), s. 279-307. ISSN 0095-4616. E-ISSN 1432-0606
EU Projects: European Commission(XE) 320078 - MATHEF
Keywords : compressible fluids * Navier-Stokes equations * singular limits
Subject RIV: BA - General Mathematics
Impact factor: 0.591, year: 2014
http://link.springer.com/article/10.1007%2Fs00245-014-9243-7

We consider the full Navier–Stokes–Fourier system in the singular regime of small Mach and large Reynolds and Péclet numbers, with ill prepared initial dat on an unbounded domain in the three dimensional Eucleidean space with a compact boundary.We perform the singular limit in the framework of weak solutions and identify the Euler–Boussinesq system as the target problem.
Permanent Link: http://hdl.handle.net/11104/0236478