The compressible Navier-Stokes equations with slip boundary conditions of friction type
Result 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.
Keywords
compressible fluidsfrictionGalerkin methodNavier-Stokes equation
The result's identifiers
Result code in IS VaVaI
Alternative codes found
RIV/00216208:11320/23:10475744
Result on the web
DOI - Digital Object Identifier
Alternative languages
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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Classification
Type
Jimp - 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
Result continuities
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
Others
Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Zeitschrift für angewandte Mathematik und Physik
ISSN
0044-2275
e-ISSN
1420-9039
Volume of the periodical
74
Issue of the periodical within the volume
5
Country of publishing house
DE - GERMANY
Number of pages
20
Pages from-to
188
UT code for WoS article
001142575300001
EID of the result in the Scopus database
2-s2.0-85169663559
Basic information
Result type
Jimp - Article in a specialist periodical, which is included in the Web of Science database
OECD FORD
Pure mathematics
Year of implementation
2023