The Maximum Regularity Property of the Steady Stokes Problem Associated with a Flow Through a Profile Cascade

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21220%2F21%3A00348842" target="_blank" >RIV/68407700:21220/21:00348842 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1007/s10440-021-00396-4" target="_blank" >https://doi.org/10.1007/s10440-021-00396-4</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s10440-021-00396-4" target="_blank" >10.1007/s10440-021-00396-4</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

Popis výsledku v původním jazyce

We deal with a steady Stokes-type problem, associated with a flow of a Newtonian incompressible fluid through a spatially periodic profile cascade. The used mathematical model is based on the reduction to one spatial period, represented by a bounded 2D domain Omega. The corresponding Stokes-type problem is formulated by means of the Stokes equation, equation of continuity and three types of boundary conditions: the conditions of periodicity on the curves Gamma(0) and Gamma(1), the Dirichlet boundary conditions on Gamma(in) and Gamma(p) and an artificial "do nothing"-type boundary condition on Gamma(out). (See Fig. 1.) We explain on the level of weak solutions the sense in which the last condition is satisfied. We show that, although domain Omega is not smooth and different types of boundary conditions meet in the corners of Omega, the considered problem has a strong solution with the so called maximum regularity property.

Název v anglickém jazyce

The Maximum Regularity Property of the Steady Stokes Problem Associated with a Flow Through a Profile Cascade

Popis výsledku anglicky

We deal with a steady Stokes-type problem, associated with a flow of a Newtonian incompressible fluid through a spatially periodic profile cascade. The used mathematical model is based on the reduction to one spatial period, represented by a bounded 2D domain Omega. The corresponding Stokes-type problem is formulated by means of the Stokes equation, equation of continuity and three types of boundary conditions: the conditions of periodicity on the curves Gamma(0) and Gamma(1), the Dirichlet boundary conditions on Gamma(in) and Gamma(p) and an artificial "do nothing"-type boundary condition on Gamma(out). (See Fig. 1.) We explain on the level of weak solutions the sense in which the last condition is satisfied. We show that, although domain Omega is not smooth and different types of boundary conditions meet in the corners of Omega, the considered problem has a strong solution with the so called maximum regularity property.

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

2021

Kód důvěrnosti údajů

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

Název periodika

Acta Applicandae Mathematicae

ISSN

0167-8019

e-ISSN

1572-9036

Svazek periodika

172

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

22

Strana od-do

—

Kód UT WoS článku

000623326600002

EID výsledku v databázi Scopus

2-s2.0-85101510288