Steady compressible Navier-Stokes-Fourier system for monoatomic gas and its generalizations

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F11%3A10100954" target="_blank" >RIV/00216208:11320/11:10100954 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.jde.2011.04.008" target="_blank" >http://dx.doi.org/10.1016/j.jde.2011.04.008</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jde.2011.04.008" target="_blank" >10.1016/j.jde.2011.04.008</a>

Result language
angličtina
Original language name
Steady compressible Navier-Stokes-Fourier system for monoatomic gas and its generalizations
Original language description
We consider steady compressible Navier--Stokes--Fourier system for a gas with pressure $p$ and internal energy $e$ related by the constitutive law $p=(gamma-1) vr e$, $gamma }1$. We show that for any $gamma}frac 32$ there exists a variational entropy solution (i.e. solution satisfying the weak formulation of balance of mass and momentum, entropy inequality and global balance of total energy). This result includes the model for monoatomic gas ($gamma = frac 53$). If $gamma } frac 53$, these solutions also fulfill the weak formulation of the pointwise total energy balance.
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
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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