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Sbornik: Mathematics, 2003, Volume 194, Issue 3, Pages 391–422
DOI: https://doi.org/10.1070/SM2003v194n03ABEH000722
(Mi sm722)
 

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

Stabilization of the solution of a two-dimensional system of Navier–Stokes equations in an unbounded domain with several exits to infinity

N. A. Khisamutdinova

Sterlitamak State Pedagogical Institute
References:
Abstract: The behaviour as $t\to\infty$ of the solution of the mixed problem for the system of Navier–Stokes equations with a Dirichlet condition at the boundary is studied in an unbounded two-dimensional domain with several exits to infinity. A class of domains is distinguished in which an estimate characterizing the decay of solutions in terms of the geometry of the domain is proved for exponentially decreasing initial velocities. A similar estimate of the solution of the first mixed problem for the heat equation is sharp in a broad class of domains with several exits to infinity.
Received: 14.03.2002
Russian version:
Matematicheskii Sbornik, 2003, Volume 194, Number 3, Pages 83–114
DOI: https://doi.org/10.4213/sm722
Bibliographic databases:
UDC: 517.95
MSC: 76D05, 35Q30
Language: English
Original paper language: Russian
Citation: N. A. Khisamutdinova, “Stabilization of the solution of a two-dimensional system of Navier–Stokes equations in an unbounded domain with several exits to infinity”, Mat. Sb., 194:3 (2003), 83–114; Sb. Math., 194:3 (2003), 391–422
Citation in format AMSBIB
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\by N.~A.~Khisamutdinova
\paper Stabilization of the~solution of a~two-dimensional system of Navier--Stokes
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\yr 2003
\vol 194
\issue 3
\pages 83--114
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\transl
\jour Sb. Math.
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\vol 194
\issue 3
\pages 391--422
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Linking options:
  • https://www.mathnet.ru/eng/sm722
  • https://doi.org/10.1070/SM2003v194n03ABEH000722
  • https://www.mathnet.ru/eng/sm/v194/i3/p83
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник - 1992–2005 Sbornik: Mathematics
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    Abstract page:549
    Russian version PDF:209
    English version PDF:23
    References:95
    First page:3
     
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