On the hydrostatic approximation of compressible anisotropic Navier-Stokes equations

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F21%3A00545358" target="_blank" >RIV/67985840:_____/21:00545358 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.5802/crmath.186" target="_blank" >https://doi.org/10.5802/crmath.186</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.5802/crmath.186" target="_blank" >10.5802/crmath.186</a>

Result language
angličtina
Original language name
On the hydrostatic approximation of compressible anisotropic Navier-Stokes equations
Original language description
In this work, we obtain the hydrostatic approximation by taking the small aspect ratio limit to the Navier-Stokes equations. The aspect ratio (the ratio of the depth to horizontal width) is a geometrical constraint in general large scale motions meaning that the vertical scale is significantly smaller than horizontal. We use the versatile relative entropy inequality to prove rigorously the limit from the compressible Navier-Stokes equations to the compressible Primitive Equations. This is the first work to use relative entropy inequality for proving hydrostatic approximation and derive the compressible Primitive Equations.
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GA19-04243S" target="_blank" >GA19-04243S: Partial differential equations in mechanics and thermodynamics of fluids</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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