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

The result's identifiers

  • Result code in 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>

  • Result on the web

    <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>

Alternative languages

  • Result language

    angličtina

  • Original language name

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

  • Original language description

    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.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10101 - Pure mathematics

Result continuities

  • 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)

Others

  • Publication year

    2022

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Mathematical Methods in the Applied Sciences

  • ISSN

    0170-4214

  • e-ISSN

    1099-1476

  • Volume of the periodical

    45

  • Issue of the periodical within the volume

    4

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    18

  • Pages from-to

    1827-1844

  • UT code for WoS article

    000713396000001

  • EID of the result in the Scopus database

    2-s2.0-85118303631