The Maximum Regularity Property of the Steady Stokes Problem Associated with a Flow Through a Profile Cascade in L-r-Framework
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21220%2F22%3A00363640" target="_blank" >RIV/68407700:21220/22:00363640 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.21136/AM.2022.0123-21" target="_blank" >https://doi.org/10.21136/AM.2022.0123-21</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.21136/AM.2022.0123-21" target="_blank" >10.21136/AM.2022.0123-21</a>
Alternative languages
Result language
angličtina
Original language name
The Maximum Regularity Property of the Steady Stokes Problem Associated with a Flow Through a Profile Cascade in L-r-Framework
Original language description
We deal with the steady Stokes problem, associated with a flow of a viscous incompressible fluid through a spatially periodic profile cascade. Using the reduction to domain Omega, which represents one spatial period, the problem is formulated by means of boundary conditions of three types: the conditions of periodicity on curves Gamma- and Gamma+ (lower and upper parts of partial derivative Omega), the Dirichlet boundary conditions on Gamma(in) (the inflow) and Gamma(0) (boundary of the profile) and an artificial "do nothing"-type boundary condition on rout (the outflow). We show that the considered problem has a strong solution with the L-T-maximum regularity property for appropriately integrable given data. From this we deduce a series of properties of the corresponding strong Stokes operator.
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
<a href="/en/project/EF16_019%2F0000778" target="_blank" >EF16_019/0000778: Center for advanced applied science</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Applications of mathematics
ISSN
0862-7940
e-ISSN
1572-9109
Volume of the periodical
37
Issue of the periodical within the volume
June
Country of publishing house
CZ - CZECH REPUBLIC
Number of pages
20
Pages from-to
171-190
UT code for WoS article
000825007700001
EID of the result in the Scopus database
2-s2.0-85133618555