On the hydrostatic approximation of compressible anisotropic Navier-Stokes equations - rigorous justification

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F22%3A00559485" target="_blank" >RIV/67985840:_____/22:00559485 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/s00021-022-00717-z" target="_blank" >https://doi.org/10.1007/s00021-022-00717-z</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00021-022-00717-z" target="_blank" >10.1007/s00021-022-00717-z</a>

Result language
angličtina
Original language name
On the hydrostatic approximation of compressible anisotropic Navier-Stokes equations - rigorous justification
Original language description
In this work, we derive 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 the general large scale geophysical motions meaning that the vertical scale is significantly smaller than horizontal. We derive the versatile relative entropy inequality. Applying the versatile relative entropy inequality we gave the rigorous derivation of the limit from the compressible Navier–Stokes equations to the compressible Primitive Equations. This is the first work where the relative entropy inequality was used for proving hydrostatic approximation - the compressible Primitive Equations.
Czech name
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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
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OECD FORD branch
10101 - Pure mathematics

Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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