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Matematicheskie Trudy, 2002, Volume 5, Number 1, Pages 84–101 (Mi mt101)  
This article is cited in 1 scientific paper (total in 1 paper)

Stagnation Zones of Solutions to the Laplace–Beltrami Equation in Long Strips

V. M. Miklyukov
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Abstract: We study the stagnation zones for solutions to the Laplace–Beltrami equation, i.e. the domains ($s$-zones) in which the solutions are close to constants. The estimates for the sizes of $s$-zones in long strips are pointed out for various types of boundary conditions.
Key words: stagnation zone, Laplace–Beltrami equation, Saint-Venant principle, long and narrow strips.
Received: 11.07.2001
Bibliographic databases:
UDC: 517.53/57
Language: Russian
Citation: V. M. Miklyukov, “Stagnation Zones of Solutions to the Laplace–Beltrami Equation in Long Strips”, Mat. Tr., 5:1 (2002), 84–101; Siberian Adv. Math., 12:3 (2002), 62–78
Citation in format AMSBIB
\Bibitem{Mik02}
\by V.~M.~Miklyukov
\paper Stagnation Zones of Solutions to the~Laplace--Beltrami Equation in Long Strips
\jour Mat. Tr.
\yr 2002
\vol 5
\issue 1
\pages 84--101
\mathnet{http://mi.mathnet.ru/mt101}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1918897}
\zmath{https://zbmath.org/?q=an:1150.35361|1029.35082}
\elib{https://elibrary.ru/item.asp?id=9532581}
\transl
\jour Siberian Adv. Math.
\yr 2002
\vol 12
\issue 3
\pages 62--78
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  • https://www.mathnet.ru/eng/mt101
  • https://www.mathnet.ru/eng/mt/v5/i1/p84
    • This publication is cited in the following 1 articles:
    1. Miklyukov V.M., Polupanov S.S., Tarapata R.A., “On stabilization of solutions to equations of gas dynamics”, Doklady Mathematics, 67:1 (2003), 63–65  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические труды Siberian Advances in Mathematics
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    Full-text PDF :163
    References:67
    First page:1
     
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