Asymptotic limit of the compressible Navier-Stokes system on domains with rough boundaries

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F25%3A00617573" target="_blank" >RIV/67985840:_____/25:00617573 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/s40687-025-00505-x" target="_blank" >https://doi.org/10.1007/s40687-025-00505-x</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s40687-025-00505-x" target="_blank" >10.1007/s40687-025-00505-x</a>

Result language
angličtina
Original language name
Asymptotic limit of the compressible Navier-Stokes system on domains with rough boundaries
Original language description
In this paper, we study the asymptotic behavior of solutions to the compressible Navier–Stokes system considered on a sequence of spatial domains, whose boundaries exhibit fast oscillations with amplitude and characteristic wave length proportional to a small parameter. Imposing the full-slip boundary conditions, we show that in the asymptotic limit the fluid sticks completely to the boundary, provided the oscillations are non-degenerate, meaning not oriented in a single direction.
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
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GA22-01591S" target="_blank" >GA22-01591S: Mathematical theory and numerical analysis for equations of viscous newtonian compressible fluids</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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