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Fundamentalnaya i Prikladnaya Matematika, 2006, Volume 12, Issue 5, Pages 109–120 (Mi fpm978)  
This article is cited in 3 scientific papers (total in 3 papers)

Equivalence of Navier–Stokes equation and infinite-dimensional Burgers equation

M. Yu. Neklyudov

M. V. Lomonosov Moscow State University
Full-text PDF (136 kB) Citations (3)
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Abstract: In this paper, we prove the equivalence of the Navier–Stokes equation and the infinite-dimensional Burgers-type equation with the Laplace–Lévy operator. An explicit formula for the solution of a certain system of linear equations arising in studying the circulation of the solution of the Navier–Stokes equation is presented.
English version:
Journal of Mathematical Sciences (New York), 2008, Volume 150, Issue 6, Pages 2531–2539
DOI: https://doi.org/10.1007/s10958-008-0152-7
Bibliographic databases:
UDC: 517.958+519.217.4
Language: Russian
Citation: M. Yu. Neklyudov, “Equivalence of Navier–Stokes equation and infinite-dimensional Burgers equation”, Fundam. Prikl. Mat., 12:5 (2006), 109–120; J. Math. Sci., 150:6 (2008), 2531–2539
Citation in format AMSBIB
\Bibitem{Nek06}
\by M.~Yu.~Neklyudov
\paper Equivalence of Navier--Stokes equation and infinite-dimensional Burgers equation
\jour Fundam. Prikl. Mat.
\yr 2006
\vol 12
\issue 5
\pages 109--120
\mathnet{http://mi.mathnet.ru/fpm978}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2314119}
\zmath{https://zbmath.org/?q=an:1151.35413}
\transl
\jour J. Math. Sci.
\yr 2008
\vol 150
\issue 6
\pages 2531--2539
\crossref{https://doi.org/10.1007/s10958-008-0152-7}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-42449114921}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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