On solutions for a generalized Navier-Stokes-Fourier system fulfilling the entropy equality
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F22%3A10452920" target="_blank" >RIV/00216208:11320/22:10452920 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=bTFcNRrx8k" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=bTFcNRrx8k</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1098/rsta.2021.0351" target="_blank" >10.1098/rsta.2021.0351</a>
Alternative languages
Result language
angličtina
Original language name
On solutions for a generalized Navier-Stokes-Fourier system fulfilling the entropy equality
Original language description
We consider a flow of a non-Newtonian heat conducting incompressible fluid in a bounded domain subjected to the homogeneous Dirichlet boundary condition for the velocity field and the Dirichlet boundary condition for the temperature. In three dimensions, for a power-law index greater or equal to 11/5, we show the existence of a solution fulfilling the entropy equality. The entropy equality can be formally deduced from the energy equality by renormalization. However, such a procedure can be justified by the DiPerna-Lions theory only for p > 5/2. The main novelty is that we do not renormalize the temperature equation, but rather construct a solution which fulfils the entropy equality.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
<a href="/en/project/GX20-11027X" target="_blank" >GX20-11027X: Mathematical analysis of partial differential equations describing far-from-equilibrium open systems in continuum thermodynamics</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
ISSN
1364-503X
e-ISSN
1471-2962
Volume of the periodical
380
Issue of the periodical within the volume
2236
Country of publishing house
GB - UNITED KINGDOM
Number of pages
15
Pages from-to
20210351
UT code for WoS article
000861201200004
EID of the result in the Scopus database
2-s2.0-85138523724