Existence of steady flows of a viscous incompressible fluid through a profile cascade and their L-r-regularity

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21220%2F22%3A00357469" target="_blank" >RIV/68407700:21220/22:00357469 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1002/mma.7888" target="_blank" >https://doi.org/10.1002/mma.7888</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1002/mma.7888" target="_blank" >10.1002/mma.7888</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Existence of steady flows of a viscous incompressible fluid through a profile cascade and their L-r-regularity

Popis výsledku v původním jazyce

The paper deals with the steady Navier-Stokes problem, describing a flow of a viscous incompressible fluid through a spatially periodic profile cascade. Using the reduction to one spatial period omega, the problem is formulated by means of boundary conditions of three types: the conditions of periodicity on curves Gamma(0) and Gamma(1), the Dirichlet boundary conditions on Gamma in and Gamma(P), and an artificial boundary condition on Gamma out (see Figure 1). For "small data," we consider the so-called "do nothing" boundary condition on Gamma out and prove the existence and uniqueness of a weak and strong solution in the L(R)-framework. For "large data," we consider an appropriately modified "do nothing" condition on Gamma out and prove the existence of a weak and strong solution.

Název v anglickém jazyce

Existence of steady flows of a viscous incompressible fluid through a profile cascade and their L-r-regularity

Popis výsledku anglicky

The paper deals with the steady Navier-Stokes problem, describing a flow of a viscous incompressible fluid through a spatially periodic profile cascade. Using the reduction to one spatial period omega, the problem is formulated by means of boundary conditions of three types: the conditions of periodicity on curves Gamma(0) and Gamma(1), the Dirichlet boundary conditions on Gamma in and Gamma(P), and an artificial boundary condition on Gamma out (see Figure 1). For "small data," we consider the so-called "do nothing" boundary condition on Gamma out and prove the existence and uniqueness of a weak and strong solution in the L(R)-framework. For "large data," we consider an appropriately modified "do nothing" condition on Gamma out and prove the existence of a weak and strong solution.

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

Mathematical Methods in the Applied Sciences

ISSN

0170-4214

e-ISSN

1099-1476

Svazek periodika

45

Číslo periodika v rámci svazku

4

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

18

Strana od-do

1827-1844

Kód UT WoS článku

000713396000001

EID výsledku v databázi Scopus

2-s2.0-85118303631