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Mathematics of the USSR-Sbornik, 1993, Volume 74, Issue 2, Pages 427–453
DOI: https://doi.org/10.1070/SM1993v074n02ABEH003355
(Mi sm1409)
 

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

Asymptotics as $|x|\to\infty$ of functions lying on an attractor of the two-dimensional Navier–Stokes system in an unbounded plane domian

A. V. Babin

Moscow State University of Transportation
References:
Abstract: The Navier–Stokes system is considered in a plane domain that has several exits to infinity having the form of channels of bounded width. It is assumed that the external force decays sufficiently fast at infinity. Solutions are considered that are defined and bounded for all $t\in\mathbf R$. Such solutions lie on an attractor of the system. An asymptotic expansion as $|x|\to\infty$ is obtained for these solutions. The presence of this expansion indicates, in particular, that turbulence in this situation does not propagate to infinity.
Received: 08.06.1990
Bibliographic databases:
MSC: 35Q30, 35B40, 76D05
Language: English
Original paper language: Russian
Citation: A. V. Babin, “Asymptotics as $|x|\to\infty$ of functions lying on an attractor of the two-dimensional Navier–Stokes system in an unbounded plane domian”, Math. USSR-Sb., 74:2 (1993), 427–453
Citation in format AMSBIB
\Bibitem{Bab91}
\by A.~V.~Babin
\paper Asymptotics as $|x|\to\infty$ of functions lying on an attractor of the two-dimensional Navier--Stokes system in an unbounded plane domian
\jour Math. USSR-Sb.
\yr 1993
\vol 74
\issue 2
\pages 427--453
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\crossref{https://doi.org/10.1070/SM1993v074n02ABEH003355}
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\zmath{https://zbmath.org/?q=an:0774.35054|0753.35064}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1993SbMat..74..427B}
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  • https://doi.org/10.1070/SM1993v074n02ABEH003355
  • https://www.mathnet.ru/eng/sm/v182/i12/p1683
  • 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
    Математический сборник - 1991 Sbornik: Mathematics
     
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