Dissipative solutions to the model of a general compressible viscous fluid with the Coulomb friction law boundary condition
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F25%3A00588509" target="_blank" >RIV/67985840:_____/25:00588509 - isvavai.cz</a>
Alternative codes found
RIV/00216208:11320/25:10493160
Result on the web
<a href="https://doi.org/10.1016/j.jmaa.2024.128693" target="_blank" >https://doi.org/10.1016/j.jmaa.2024.128693</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jmaa.2024.128693" target="_blank" >10.1016/j.jmaa.2024.128693</a>
Alternative languages
Result language
angličtina
Original language name
Dissipative solutions to the model of a general compressible viscous fluid with the Coulomb friction law boundary condition
Original language description
We study a model of a general compressible viscous fluid subject to the Coulomb friction law boundary condition. For this model, we introduce a dissipative formulation and prove the existence of dissipative solutions. The proof of this result consists of a three level approximation method: A Galerkin approximation, the classical parabolic regularization of the continuity equation as well as convex regularizations of the potential generating the viscouss stress and the boundary terms incorporating the Coulomb friction law into the dissipative formulation. This approach combines the techniques already known from the proof of the existence of dissipative solutions to a model of general compressible viscous fluids under inflow-outflow boundary conditions as well as the proof of the existence of weak solution to the incompressible Navier-Stokes equations under the Coulomb friction law boundary condition. It is the first time that this type of boundary condition is considered in the case of compressible flow.
Czech name
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Czech description
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Classification
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
Result continuities
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
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of Mathematical Analysis and Applications
ISSN
0022-247X
e-ISSN
1096-0813
Volume of the periodical
541
Issue of the periodical within the volume
2
Country of publishing house
US - UNITED STATES
Number of pages
28
Pages from-to
128693
UT code for WoS article
001281080900001
EID of the result in the Scopus database
2-s2.0-85199292596