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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 83 scientific papers (total in 83 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 (83)
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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
Russian version:
Uspekhi Matematicheskikh Nauk, 2003, Volume 58, Issue 2(350), Pages 45–78
DOI: https://doi.org/10.4213/rm610
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”, Uspekhi Mat. Nauk, 58:2(350) (2003), 45–78; Russian Math. Surveys, 58:2 (2003), 251–286
Citation in format AMSBIB
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    • This publication is cited in the following 83 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Успехи математических наук Russian Mathematical Surveys
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