The Maximum Regularity Property of the Steady Stokes Problem Associated with a Flow Through a Profile Cascade in L-r-Framework

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

The Maximum Regularity Property of the Steady Stokes Problem Associated with a Flow Through a Profile Cascade in L-r-Framework

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

The Maximum Regularity Property of the Steady Stokes Problem Associated with a Flow Through a Profile Cascade in L-r-Framework

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

<a href="/cs/project/EF16_019%2F0000778" target="_blank" >EF16_019/0000778: Centrum pokročilých aplikovaných přírodních věd</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2022

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Applications of mathematics

ISSN

0862-7940

e-ISSN

1572-9109

Svazek periodika

37

Číslo periodika v rámci svazku

June

Stát vydavatele periodika

CZ - Česká republika

Počet stran výsledku

20

Strana od-do

171-190

Kód UT WoS článku

000825007700001

EID výsledku v databázi Scopus

2-s2.0-85133618555