Rigorous derivation of the Oberbeck-Boussinesq approximation revealing unexpected term

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F23%3A00577220" target="_blank" >RIV/67985840:_____/23:00577220 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/s00220-023-04823-5" target="_blank" >https://doi.org/10.1007/s00220-023-04823-5</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00220-023-04823-5" target="_blank" >10.1007/s00220-023-04823-5</a>

Result language
angličtina
Original language name
Rigorous derivation of the Oberbeck-Boussinesq approximation revealing unexpected term
Original language description
We consider a general compressible viscous and heat conducting fluid confined between two parallel plates and heated from the bottom. The time evolution of the fluid is described by the Navier-Stokes-Fourier system considered in the regime of low Mach and Froude numbers suitably interrelated. Surprisingly and differently to the case of Neumann boundary conditions for the temperature, the asymptotic limit is identified as the Oberbeck-Boussinesq system supplemented with non-local boundary conditions for the temperature deviation.
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/GA21-02411S" target="_blank" >GA21-02411S: Solving ill posed problems in the dynamics of compressible fluids</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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