A rigorous derivation of the stationary compressible Reynolds equation via the Navier-Stokes equations

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F18%3A00489055" target="_blank" >RIV/67985840:_____/18:00489055 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1142/S0218202518500185" target="_blank" >http://dx.doi.org/10.1142/S0218202518500185</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1142/S0218202518500185" target="_blank" >10.1142/S0218202518500185</a>

Result language
angličtina
Original language name
A rigorous derivation of the stationary compressible Reynolds equation via the Navier-Stokes equations
Original language description
We provide a rigorous derivation of the compressible Reynolds system as a singular limit of the compressible (barotropic) Navier–Stokes system on a thin domain. In particular, the existence of solutions to the Navier–Stokes system with non-homogeneous boundary conditions is shown that may be of independent interest. Our approach is based on new a priori bounds available for the pressure law of hard sphere type. Finally, uniqueness for the limit problem is established in the one-dimensional case.
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
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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