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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2012, Volume 18, Number 2, Pages 108–113 (Mi timm812)  

This article is cited in 3 scientific papers (total in 3 papers)

Regular asymptotics of a generalized solution of the stationary Navier–Stokes system

S. V. Zakharov

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
Full-text PDF (133 kB) Citations (3)
References:
Abstract: A regular asymptotic series is constructed for a generalized solution of the stationary system of Navier–Stokes equations in a bounded domain of three-dimensional space under a constraint on the generalized Reynolds number. A theorem on the approximation to any degree of accuracy of the exact solution of a homogeneous boundary value problem by partial sums of the series is proved.
Keywords: Navier–Stokes system, generalized solution, asymptotics.
Received: 26.09.2011
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2013, Volume 281, Issue 1, Pages 146–151
DOI: https://doi.org/10.1134/S0081543813050143
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: S. V. Zakharov, “Regular asymptotics of a generalized solution of the stationary Navier–Stokes system”, Trudy Inst. Mat. i Mekh. UrO RAN, 18, no. 2, 2012, 108–113; Proc. Steklov Inst. Math. (Suppl.), 281, suppl. 1 (2013), 146–151
Citation in format AMSBIB
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\by S.~V.~Zakharov
\paper Regular asymptotics of a~generalized solution of the stationary Navier--Stokes system
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2012
\vol 18
\issue 2
\pages 108--113
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\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2013
\vol 281
\issue , suppl. 1
\pages 146--151
\crossref{https://doi.org/10.1134/S0081543813050143}
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  • https://www.mathnet.ru/eng/timm/v18/i2/p108
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Trudy Instituta Matematiki i Mekhaniki UrO RAN
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    Abstract page:355
    Full-text PDF :101
    References:81
    First page:4
     
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