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Zapiski Nauchnykh Seminarov POMI, 2010, Volume 385, Pages 187–199 (Mi znsl3904)  
This article is cited in 14 scientific papers (total in 14 papers)

Necessary conditions of potential blow up for Navier–Stokes equations

G. A. Seregin

St. Petersburg Department of Steklov Institute of Mathematics RAS, St. Petersburg, Russia
Full-text PDF (210 kB) Citations (14)
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Abstract: Assuming that $T$ is a potential blow up time, we show that $H^\frac12$-norm of the velocity field goes to $\infty$ as time $t$ approaches $T$. Bibl. 9 titles.
Key words and phrases: Cauchy problem, regularity, blow up, Navier–Stokes systems.
Received: 10.11.2010
English version:
Journal of Mathematical Sciences (New York), 2011, Volume 178, Issue 3, Pages 345–352
DOI: https://doi.org/10.1007/s10958-011-0551-z
Bibliographic databases:
Document Type: Article
UDC: 517
Language: English
Citation: G. A. Seregin, “Necessary conditions of potential blow up for Navier–Stokes equations”, Boundary-value problems of mathematical physics and related problems of function theory. Part 41, Zap. Nauchn. Sem. POMI, 385, POMI, St. Petersburg, 2010, 187–199; J. Math. Sci. (N. Y.), 178:3 (2011), 345–352
Citation in format AMSBIB
\Bibitem{Ser10}
\by G.~A.~Seregin
\paper Necessary conditions of potential blow up for Navier--Stokes equations
\inbook Boundary-value problems of mathematical physics and related problems of function theory. Part~41
\serial Zap. Nauchn. Sem. POMI
\yr 2010
\vol 385
\pages 187--199
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3904}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2011
\vol 178
\issue 3
\pages 345--352
\crossref{https://doi.org/10.1007/s10958-011-0551-z}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-80053553977}
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  • https://www.mathnet.ru/eng/znsl/v385/p187
    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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