On the existence of solutions to generalized Navier-Stokes-Fourier system with dissipative heating
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F24%3A10490285" target="_blank" >RIV/00216208:11320/24:10490285 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=sYvcI-Tn.q" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=sYvcI-Tn.q</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s11012-024-01791-5" target="_blank" >10.1007/s11012-024-01791-5</a>
Alternative languages
Result language
angličtina
Original language name
On the existence of solutions to generalized Navier-Stokes-Fourier system with dissipative heating
Original language description
We consider a flow of non-Newtonian incompressible heat conducting fluids with dissipative heating. Such system can be obtained by scaling the classical Navier-Stokes-Fourier problem. As one possible singular limit may be obtained the so-called Oberbeck-Boussinesq system. However, this model is not suitable for studying the systems with high temperature gradient. These systems are described in much better way by completing the Oberbeck-Boussinesq system by an additional dissipative heating. The satisfactory existence result for such system was however not available. In this paper we show the large-data and the long-time existence of dissipative and suitable weak solution. This is the starting point for further analysis of the stability properties of such problems.
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
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Meccanica
ISSN
0025-6455
e-ISSN
1572-9648
Volume of the periodical
59
Issue of the periodical within the volume
10
Country of publishing house
IT - ITALY
Number of pages
28
Pages from-to
1703-1730
UT code for WoS article
001228567200005
EID of the result in the Scopus database
2-s2.0-85193750962