The Stokes problem with Navier boundary conditions in irregular domains
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F25%3A10512314" target="_blank" >RIV/00216208:11320/25:10512314 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=ouoy75qQWp" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=ouoy75qQWp</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00526-025-03141-z" target="_blank" >10.1007/s00526-025-03141-z</a>
Alternative languages
Result language
angličtina
Original language name
The Stokes problem with Navier boundary conditions in irregular domains
Original language description
We consider the steady Stokes equations supplemented with Navier boundary conditions including a non-negative friction coefficient. We prove maximal regularity estimates (including the prominent spaces W1,p and W2,p for 1<p<oo for the velocity field) in bounded domains of minimal regularity. Interestingly, exactly one derivative more is required for the local boundary charts compared to the case of no-slip boundary conditions. We demonstrate the sharpness of our results by a propos examples.
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
—
OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
—
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
Calculus of Variations and Partial Differential Equations
ISSN
0944-2669
e-ISSN
1432-0835
Volume of the periodical
64
Issue of the periodical within the volume
9
Country of publishing house
US - UNITED STATES
Number of pages
25
Pages from-to
304
UT code for WoS article
001597162100002
EID of the result in the Scopus database
2-s2.0-105019245866