The compressible Navier-Stokes equations with slip boundary conditions of friction type

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F23%3A00575744" target="_blank" >RIV/67985840:_____/23:00575744 - isvavai.cz</a>
Alternative codes found
RIV/00216208:11320/23:10475744
Result on the web
<a href="https://doi.org/10.1007/s00033-023-02062-1" target="_blank" >https://doi.org/10.1007/s00033-023-02062-1</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00033-023-02062-1" target="_blank" >10.1007/s00033-023-02062-1</a>

Result language
angličtina
Original language name
The compressible Navier-Stokes equations with slip boundary conditions of friction type
Original language description
We study a mathematical model of a viscous compressible fluid obeying the slip boundary condition of friction type. We present a notion of weak solutions to this model, in which the momentum equation and the associated energy inequality are combined into a single relation. Moreover, the slip boundary condition of friction type is incorporated into this relation by the use of a boundary integral. Our main result proves the existence of such weak solutions. The proof of this result combines the classical existence theory for the compressible Navier–Stokes equations with an approximation of the aforementioned boundary integral via a convex regularization of the absolute value function.
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
Result was created during the realization of more than one project. More information in the Projects tab.
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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