On singular limits arising in the scale analysis of stratified fluid flows
File(s)1506.06916v1.pdf (266.69 KB)
Supporting information
Author(s)
Feireisl, E
Klein, R
Novotny, A
Zatorska, E
Type
Journal Article
Abstract
© World Scientific Publishing Company.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 Θ. 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 Θ.
Date Issued
2015-11-20
Date Acceptance
2015-08-09
ISSN
1793-6314
Publisher
World Scientific Publishing
Start Page
419
End Page
443
Journal / Book Title
Mathematical Models & Methods in Applied Sciences
Volume
26
Issue
3
Copyright Statement
Electronic version of an article published as Mathematical Models and Methods in Applied Sciences, Volume 26, Issue 3, 2015, Pages 419-443 DOI 10.1142/S021820251650007X © copyright World Scientific Publishing Company http://www.worldscientific.com/doi/10.1142/S021820251650007X
Identifier
http://arxiv.org/abs/1506.06916v1
Subjects
math.AP
Applied Mathematics
0102 Applied Mathematics
Notes
25 pages
Publication Status
Published