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Vladikavkazskii Matematicheskii Zhurnal, 2010, Volume 12, Number 3, Pages 56–66 (Mi vmj184)  

This article is cited in 5 scientific papers (total in 5 papers)

On correlation of two solution classes of Navier–Stokes equation

V. B. Levenshtamab

a South Mathematical Institute of VSC RAS, Russia, Vladikavkaz
b Southern Federal University, Faculty of Mathematics, Mechanics and Computer Sciences, Russia, Rostov-on-Don
Full-text PDF (175 kB) Citations (5)
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Abstract: We consider an initial boundary value problem for Navier–Stokes equation with mass power polinomial depend on unknown (velocity). We introduce for it the definitions of solution and generalized solution and we derive the conditions, under with a generalized solution is a solution.
Key words: Navier–Stokes equation, solution, generalized solution.
Received: 14.09.2009
Bibliographic databases:
Document Type: Article
UDC: 517.633
Language: Russian
Citation: V. B. Levenshtam, “On correlation of two solution classes of Navier–Stokes equation”, Vladikavkaz. Mat. Zh., 12:3 (2010), 56–66
Citation in format AMSBIB
\Bibitem{Lev10}
\by V.~B.~Levenshtam
\paper On correlation of two solution classes of Navier--Stokes equation
\jour Vladikavkaz. Mat. Zh.
\yr 2010
\vol 12
\issue 3
\pages 56--66
\mathnet{http://mi.mathnet.ru/vmj184}
\elib{https://elibrary.ru/item.asp?id=15181021}
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  • https://www.mathnet.ru/eng/vmj184
  • https://www.mathnet.ru/eng/vmj/v12/i3/p56
    Cycle of papers
    This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Full-text PDF :94
    References:62
    First page:1
     
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