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Zapiski Nauchnykh Seminarov POMI, 2010, Volume 385, Pages 83–97 (Mi znsl3901)  
This article is cited in 5 scientific papers (total in 5 papers)

On local regularity for suitable weak solutions of the Navier–Stokes equations near the boundary

A. S. Mikhaylov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, St. Petersburg, Russia
Full-text PDF (231 kB) Citations (5)
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Abstract: A class of sufficient conditions for local boundary regularity of suitable weak solutions of the non-stationary three-dimensional Navier–Stokes equations is discussed. The corresponding results are formulated in terms of functionals which are invariant with respect to the scaling of the Navier–Stokes equations. Bibl. 27 titles.
Key words and phrases: Navier–Stokes equation, suitable weak solution, natural scaling, local boundary regularity.
Received: 02.12.2010
English version:
Journal of Mathematical Sciences (New York), 2011, Volume 178, Issue 3, Pages 282–291
DOI: https://doi.org/10.1007/s10958-011-0548-7
Bibliographic databases:
Document Type: Article
UDC: 517
Language: English
Citation: A. S. Mikhaylov, “On local regularity for suitable weak solutions of the Navier–Stokes equations near the boundary”, Boundary-value problems of mathematical physics and related problems of function theory. Part 41, Zap. Nauchn. Sem. POMI, 385, POMI, St. Petersburg, 2010, 83–97; J. Math. Sci. (N. Y.), 178:3 (2011), 282–291
Citation in format AMSBIB
\Bibitem{Mik10}
\by A.~S.~Mikhaylov
\paper On local regularity for suitable weak solutions of the Navier--Stokes equations near the boundary
\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 83--97
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3901}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2011
\vol 178
\issue 3
\pages 282--291
\crossref{https://doi.org/10.1007/s10958-011-0548-7}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-80053476451}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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