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Russian Mathematical Surveys, 2003, Volume 58, Issue 2, Pages 251–286
DOI: https://doi.org/10.1070/RM2003v058n02ABEH000610 (Mi rm610) 		 
This article is cited in 84 scientific papers (total in 84 papers)

Sixth problem of the millennium: Navier–Stokes equations, existence and smoothness

O. A. Ladyzhenskaya

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
English version PDF (408 kB) Citations (84) Russian version article
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DOI: https://doi.org/10.1070/RM2003v058n02ABEH000610
Abstract: This paper presents the main results concerning solubility of the basic initial-boundary value problem and the Cauchy problem for the three-dimensional non-stationary Navier–Stokes equations, together with a list of what to prove in order to solve the sixth problem of the “seven problems of the millennium” proposed on the Internet at the site http://claymath.org/.
Received: 15.02.2003
Bibliographic databases:
Document Type: Article
UDC: 517.9
MSC: Primary 35Q30, 76P05; Secondary 35A05, 35A07
Language: English
Original paper language: Russian
Citation: O. A. Ladyzhenskaya, “Sixth problem of the millennium: Navier–Stokes equations, existence and smoothness”, Russian Math. Surveys, 58:2 (2003), 251–286
Citation in format AMSBIB
\Bibitem{Lad03}
\by O.~A.~Ladyzhenskaya
\paper Sixth problem of the millennium: Navier--Stokes equations, existence and smoothness
\jour Russian Math. Surveys
\yr 2003
\vol 58
\issue 2
\pages 251--286
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\crossref{https://doi.org/10.1070/RM2003v058n02ABEH000610}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1992564}
\zmath{https://zbmath.org/?q=an:1062.35067}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2003RuMaS..58..251L}
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\elib{https://elibrary.ru/item.asp?id=13432077}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-0041522791}
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    • This publication is cited in the following 84 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Успехи математических наук Russian Mathematical Surveys
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    Abstract page:4816
    Russian version PDF:2362
    English version PDF:137
    References:220
    First page:7
     
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