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Note to the problem of the asymptotic behavior of a viscous incompressible flow around a rotating body

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21220%2F16%3A00309226" target="_blank" >RIV/68407700:21220/16:00309226 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1016/j.crma.2016.05.013" target="_blank" >http://dx.doi.org/10.1016/j.crma.2016.05.013</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1016/j.crma.2016.05.013" target="_blank" >10.1016/j.crma.2016.05.013</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Note to the problem of the asymptotic behavior of a viscous incompressible flow around a rotating body

  • Original language description

    We consider weak solutions to the stationary Navier-Stokes system with Oseen and rotational terms, in an exterior domain. We are interested in the leading term for the velocity field and its gradient. Moreover, we deal with the asymptotic behavior at infinity. We proved that the velocity may be split, within constants, into the first column of the fundamental solution to the Oseen system, plus a remainder term decaying pointwise near infinity at a rate which is higher than the decay rate of the Oseen tensor. This result improves the theory proposed by M. Kyed [Asymptotic profile of a linearized flow past a rotating body, Q. Appl. Math. 71 (2013) 489-500; On the asymptotic structure of a Navier-Stokes flow past a rotating body, J. Math. Soc. Jpn. 66 (2014) 1-16]. (C) 2016 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/GAP201%2F11%2F1304" target="_blank" >GAP201/11/1304: Flow of fluids in domains with variable geometry</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2016

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Comptes Rendus Mathematique

  • ISSN

    1631-073X

  • e-ISSN

  • Volume of the periodical

    354

  • Issue of the periodical within the volume

    8

  • Country of publishing house

    NL - THE KINGDOM OF THE NETHERLANDS

  • Number of pages

    5

  • Pages from-to

    794-798

  • UT code for WoS article

    000382317700009

  • EID of the result in the Scopus database