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Matematicheskie Zametki, 1993, Volume 53, Issue 1, Pages 25–35 (Mi mzm3917)  

This article is cited in 12 scientific papers (total in 12 papers)

Some asymptotic solutions of linearized Navier–Stokes equations

S. Yu. Dobrokhotov, A. I. Shafarevich

A. Ishlinsky Institite for Problems in Mechanics, Russian Academy of Sciences
Abstract: We consider examples that illustrate in various situations the time evolution of asymptotic solutions of linearized Navier–Stokes equations. We give formulas that describe short-wave perturbations of plane-parallel flows. These perturbations grow linearly over time. For a wide class of two-dimensional flows with closed flow lines we prove the exponential growth of three-dimensional short-wave asymptotic solutions.
Received: 25.06.1992
English version:
Mathematical Notes, 1993, Volume 53, Issue 1, Pages 19–26
DOI: https://doi.org/10.1007/BF01208518
Bibliographic databases:
UDC: 517
Language: Russian
Citation: S. Yu. Dobrokhotov, A. I. Shafarevich, “Some asymptotic solutions of linearized Navier–Stokes equations”, Mat. Zametki, 53:1 (1993), 25–35; Math. Notes, 53:1 (1993), 19–26
Citation in format AMSBIB
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\by S.~Yu.~Dobrokhotov, A.~I.~Shafarevich
\paper Some asymptotic solutions of linearized Navier--Stokes equations
\jour Mat. Zametki
\yr 1993
\vol 53
\issue 1
\pages 25--35
\mathnet{http://mi.mathnet.ru/mzm3917}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1215156}
\zmath{https://zbmath.org/?q=an:0816.76025}
\transl
\jour Math. Notes
\yr 1993
\vol 53
\issue 1
\pages 19--26
\crossref{https://doi.org/10.1007/BF01208518}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1993MY10400003}
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  • https://www.mathnet.ru/eng/mzm/v53/i1/p25
  • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математические заметки Mathematical Notes
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