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Zapiski Nauchnykh Seminarov POMI, 2009, Volume 370, Pages 73–93 (Mi znsl3532)  
This article is cited in 6 scientific papers (total in 6 papers)

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

A. Mikhaylov

St. Petersburg Department of V. A. Steklov Institute of Mathematics of the Russian Academy of Sciences, St. Petersburg, Russia
Full-text PDF (640 kB) Citations (6)
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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 invariant with respect to the scaling of the Navier–Stokes equations. Bibl. – 26 titles.
Key words and phrases: Navier–Stokes equation, suitable weak solutions, natural scaling, local boundary regularity.
Received: 28.10.2009
English version:
Journal of Mathematical Sciences (New York), 2010, Volume 166, Issue 1, Pages 40–52
DOI: https://doi.org/10.1007/s10958-010-9843-y
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: English
Citation: A. Mikhaylov, “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 40, Zap. Nauchn. Sem. POMI, 370, POMI, St. Petersburg, 2009, 73–93; J. Math. Sci. (N. Y.), 166:1 (2010), 40–52
Citation in format AMSBIB
\Bibitem{Mik09}
\by A.~Mikhaylov
\paper 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~40
\serial Zap. Nauchn. Sem. POMI
\yr 2009
\vol 370
\pages 73--93
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3532}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2010
\vol 166
\issue 1
\pages 40--52
\crossref{https://doi.org/10.1007/s10958-010-9843-y}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77949291891}
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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