The weak 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%2F23%3A00364680" target="_blank" >RIV/68407700:21220/23:00364680 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1002/mana.202000320" target="_blank" >https://doi.org/10.1002/mana.202000320</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1002/mana.202000320" target="_blank" >10.1002/mana.202000320</a>

Jazyk výsledku

angličtina

Název v původním jazyce

The weak Stokes problem associated with a flow through a profile cascade in L-r-framework

Popis výsledku v původním jazyce

We study the weak steady Stokes problem, associated with a flow of a Newtonian incompressible fluid through a spatially periodic profile cascade, in the L-r-setup. The mathematical model used here is based on the reduction to one spatial period, represented by a bounded 2D domain Omega. The corresponding Stokes problem is formulated using three types of boundary conditions: the conditions of periodicity on the "lower" and "upper" parts of the boundary, the Dirichlet boundary conditions on the "inflow" and on the profile and an artificial "do nothing"-type boundary condition on the "outflow." Under appropriate assumptions on the given data, we prove the existence and uniqueness of a weak solution in W-1,W-r(Omega) and its continuous dependence on the data. We explain the sense in which the "do nothing" boundary condition on the "outflow" is satisfied.

Název v anglickém jazyce

The weak Stokes problem associated with a flow through a profile cascade in L-r-framework

Popis výsledku anglicky

We study the weak steady Stokes problem, associated with a flow of a Newtonian incompressible fluid through a spatially periodic profile cascade, in the L-r-setup. The mathematical model used here is based on the reduction to one spatial period, represented by a bounded 2D domain Omega. The corresponding Stokes problem is formulated using three types of boundary conditions: the conditions of periodicity on the "lower" and "upper" parts of the boundary, the Dirichlet boundary conditions on the "inflow" and on the profile and an artificial "do nothing"-type boundary condition on the "outflow." Under appropriate assumptions on the given data, we prove the existence and uniqueness of a weak solution in W-1,W-r(Omega) and its continuous dependence on the data. We explain the sense in which the "do nothing" boundary condition on the "outflow" is satisfied.

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

2023

Kód důvěrnosti údajů

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

Název periodika

Mathematische Nachrichten

ISSN

0025-584X

e-ISSN

1522-2616

Svazek periodika

296

Číslo periodika v rámci svazku

2

Stát vydavatele periodika

DE - Spolková republika Německo

Počet stran výsledku

18

Strana od-do

779-796

Kód UT WoS článku

000897693700001

EID výsledku v databázi Scopus

2-s2.0-85143889713