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Izvestiya: Mathematics, 2011, Volume 75, Issue 6, Pages 1185–1214
DOI: https://doi.org/10.1070/IM2011v075n06ABEH002569
(Mi im4562)
 

This article is cited in 1 scientific paper (total in 1 paper)

The three-dimensional stationary flow problem at small Reynolds numbers

L. I. Sazonovab

a Southern Federal University
b South Mathematical Institute of VSC RAS
References:
Abstract: We study the problem of finding convergent series representations of solutions of exterior problems for the stationary Navier–Stokes system at small Reynolds numbers Re. Our approach enables us to treat some cases of boundary conditions that increase as Re0.
Keywords: stationary Navier–Stokes system, exterior domain, hydrodynamical potentials, resistance force.
Received: 28.03.2010
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: English
Original paper language: Russian
Citation: L. I. Sazonov, “The three-dimensional stationary flow problem at small Reynolds numbers”, Izv. Math., 75:6 (2011), 1185–1214
Citation in format AMSBIB
\Bibitem{Saz11}
\by L.~I.~Sazonov
\paper The three-dimensional stationary flow problem at small Reynolds numbers
\jour Izv. Math.
\yr 2011
\vol 75
\issue 6
\pages 1185--1214
\mathnet{http://mi.mathnet.ru/eng/im4562}
\crossref{https://doi.org/10.1070/IM2011v075n06ABEH002569}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2918895}
\zmath{https://zbmath.org/?q=an:1239.35129}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2011IzMat..75.1185S}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000298497200005}
\elib{https://elibrary.ru/item.asp?id=20358820}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84455199897}
Linking options:
  • https://www.mathnet.ru/eng/im4562
  • https://doi.org/10.1070/IM2011v075n06ABEH002569
  • https://www.mathnet.ru/eng/im/v75/i6/p99
  • This publication is cited in the following 1 articles:
    1. L. I. Sazonov, “Existence of transitions between stationary regimes of the Navier–Stokes equations in the entire space”, Comput. Math. Math. Phys., 53:9 (2013), 1377–1390  mathnet  crossref  crossref  isi  elib  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:597
    Russian version PDF:212
    English version PDF:27
    References:116
    First page:29
     
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