Euler system with a polytropic equation of state as a vanishing viscosity limit

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F22%3A00558263" target="_blank" >RIV/67985840:_____/22:00558263 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/s00021-022-00690-7" target="_blank" >https://doi.org/10.1007/s00021-022-00690-7</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00021-022-00690-7" target="_blank" >10.1007/s00021-022-00690-7</a>

Result language
angličtina
Original language name
Euler system with a polytropic equation of state as a vanishing viscosity limit
Original language description
We consider the Euler system of gas dynamics endowed with the incomplete (e-rho-p) equation of state relating the internal energy a to the mass density rho and the pressure p. We show that any sufficiently smooth solution can be recovered as a vanishing viscosity-heat conductivity limit of the Navier-Stokes-Fourier system with a properly defined temperature. The result is unconditional in the case of the Navier type (slip) boundary conditions and extends to the no-slip condition for the velocity under some extra hypotheses of Kato's type concerning the behavior of the fluid in the boundary layer.
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
<a href="/en/project/GA21-02411S" target="_blank" >GA21-02411S: Solving ill posed problems in the dynamics of compressible fluids</a><br>
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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