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

Result code in 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>

Result on the web

<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>

Result language

angličtina

Original language name

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

Original language description

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.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

10101 - Pure mathematics

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)

Publication year

2021

Confidentiality

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

Name of the periodical

Acta Applicandae Mathematicae

ISSN

0167-8019

e-ISSN

1572-9036

Volume of the periodical

172

Issue of the periodical within the volume

1

Country of publishing house

NL - THE KINGDOM OF THE NETHERLANDS

Number of pages

22

Pages from-to

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UT code for WoS article

000623326600002

EID of the result in the Scopus database

2-s2.0-85101510288