A rigorous justification of the Euler and Navier-Stokes equations with geometric effects

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F16%3A00466755" target="_blank" >RIV/67985840:_____/16:00466755 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1137/15M1048963" target="_blank" >http://dx.doi.org/10.1137/15M1048963</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1137/15M1048963" target="_blank" >10.1137/15M1048963</a>

Result language
angličtina
Original language name
A rigorous justification of the Euler and Navier-Stokes equations with geometric effects
Original language description
We derive the one-dimensional (1D) isentropic Euler and Navier--Stokes equations describing the motion of a gas through a nozzle of variable cross section as the asymptotic limit of the 3D isentropic Navier--Stokes system in a cylinder, the diameter of which tends to zero. Our method is based on the relative energy inequality satisfied by any weak solution of the 3D Navier--Stokes system and a variant of the Korn--Poincaré inequality on thin channels that may be of independent interest.
Czech name
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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
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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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