Weak and variational solutions to steady equations for compressible heat conducting fluids

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F11%3A10100955" target="_blank" >RIV/00216208:11320/11:10100955 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1137/100799393" target="_blank" >http://dx.doi.org/10.1137/100799393</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1137/100799393" target="_blank" >10.1137/100799393</a>

Result language
angličtina
Original language name
Weak and variational solutions to steady equations for compressible heat conducting fluids
Original language description
We study steady compressible Navier--Stokes--Fourier system in a bounded three--dimensional domain. We consider a general pressure law of the form $p = (gamma-1) vr e$ which includes in particular the case $p=a_1 vr vt + a_2 vr^gamma$. We show existence of a variational entropy solution (i.e. solution satisfying balance of mass, momentum, entropy inequality and global balance of total energy) for $gamma >frac{3+sqrt{41}}{8}$ which is a weak solution (i.e. also the weak formulation of total energy balance is satisfied) provided $gamma>frac 43$. These results cover at least two physically reasonable cases, namely $gamma = frac 53$ (monoatomic gas) and $gamma = frac 43$ (relativistic gas).
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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