Steady Navier-Stokes-Fourier system with slip boundary conditions
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F14%3A10286065" target="_blank" >RIV/00216208:11320/14:10286065 - isvavai.cz</a>
Result on the web
<a href="http://www.worldscientific.com/doi/abs/10.1142/S0218202513500668" target="_blank" >http://www.worldscientific.com/doi/abs/10.1142/S0218202513500668</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1142/S0218202513500668" target="_blank" >10.1142/S0218202513500668</a>
Alternative languages
Result language
angličtina
Original language name
Steady Navier-Stokes-Fourier system with slip boundary conditions
Original language description
We consider a problem modelling the steady flow of a compressible heat conducting Newtonian fluid subject to the slip boundary condition for the velocity. Assuming the pressure law of the form $p(vr,vt) sim vr^gamma + vr vt$, we show (under additional assumptions on the heat conductivity and the viscosity) that for any $gamma >1$ there exists a variational entropy solution to our problem (i.e. the weak formulation of the total energy balance is replaced by the entropy inequality and the global total energy balance). Moreover, if $gamma > frac 54$ (together with further restrictions on the heat conductivity), the solution is in fact a weak one. The results are obtained without any restriction on the size of the data.
Czech name
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Czech description
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Classification
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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Result continuities
Project
<a href="/en/project/GA201%2F09%2F0917" target="_blank" >GA201/09/0917: Mathematical and computer analysis of the evolution processes in nonlinear viscoelastic fluid-like materials</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Mathematical Models and Methods in Applied Sciences
ISSN
0218-2025
e-ISSN
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Volume of the periodical
24
Issue of the periodical within the volume
4
Country of publishing house
SG - SINGAPORE
Number of pages
31
Pages from-to
751-781
UT code for WoS article
000330904100005
EID of the result in the Scopus database
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