Navier-Stokes-Fourier system with Dirichlet boundary conditions

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F22%3A00560286" target="_blank" >RIV/67985840:_____/22:00560286 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1080/00036811.2021.1992396" target="_blank" >https://doi.org/10.1080/00036811.2021.1992396</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1080/00036811.2021.1992396" target="_blank" >10.1080/00036811.2021.1992396</a>

Result language
angličtina
Original language name
Navier-Stokes-Fourier system with Dirichlet boundary conditions
Original language description
We consider the Navier–Stokes–Fourier system describing the motion of a compressible, viscous, and heat-conducting fluid in a bounded domain (Formula presented.), d = 2, 3, with general non-homogeneous Dirichlet boundary conditions for the velocity and the absolute temperature, with the associated boundary conditions for the density on the inflow part. We introduce a new concept of a weak solution based on the satisfaction of the entropy inequality together with a balance law for the ballistic energy. We show the weak–strong uniqueness principle as well as the existence of global-in-time solutions.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GA18-05974S" target="_blank" >GA18-05974S: Oscillations and concentrations versus stability in the equations of mathematical fluid dynamics</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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