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

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F16%3A00456564" target="_blank" >RIV/67985840:_____/16:00456564 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1142/S021820251650007X" target="_blank" >http://dx.doi.org/10.1142/S021820251650007X</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1142/S021820251650007X" target="_blank" >10.1142/S021820251650007X</a>

Result language
angličtina
Original language name
On singular limits arising in the scale analysis of stratified fluid flows
Original language description
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.
Czech name
—
Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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