Feireisl, E. and Klein, R. and Novotný, A. and Zatorska, E. (2016) On singular limits arising in the scale analysis of stratified fluid flows. Mathematical Models and Methods in Applied Sciences, World Scientific, 26 (3). pp. 419443. ISSN Print: 02182025 Online: 17936314

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Official URL: http://www.worldscientific.com/doi/abs/10.1142/S02...
Abstract
We study the low Mach low Freude numbers limit in the compressible NavierStokes equations and the transport equation for evolution of an entropy variable { the potential temperature . We consider the case of wellprepared initial data on "flat" tours and Reynolds number tending to infinity, and the case of illprepared 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 NavierStokes system and the transport equation for the second order variation of .
Item Type:  Article 

Additional Information:  Isentropic fluid flow; strong stratification; singular limit; anelastic approximation 
Subjects:  Mathematical and Computer Sciences > Mathematics > Applied Mathematics 
ID Code:  1701 
Deposited By:  Ulrike Eickers 
Deposited On:  21 Jul 2015 13:54 
Last Modified:  03 Mar 2017 14:41 
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