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Zapiski Nauchnykh Seminarov POMI, 2006, Volume 336, Pages 133–152 (Mi znsl200)  
This article is cited in 9 scientific papers (total in 9 papers)

$L_{3,\infty}$-solutions to the 3D-Navier–Stokes system in the domain with a curved boundary

A. S. Mikhailov, T. N. Shilkin

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (261 kB) Citations (9)
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Abstract: We show that $L_{3,\infty}$-solutions to the three-dimensional Navier–Stokes equations near the curved smooth part of the boundary are Hölder continuous. The corresponding result near the plane part of the boundary was obtained earlier by G. Seregin.
Received: 16.08.2006
English version:
Journal of Mathematical Sciences (New York), 2007, Volume 143, Issue 2, Pages 2924–2935
DOI: https://doi.org/10.1007/s10958-007-0176-4
Bibliographic databases:
UDC: 517.9
Language: English
Citation: A. S. Mikhailov, T. N. Shilkin, “$L_{3,\infty}$-solutions to the 3D-Navier–Stokes system in the domain with a curved boundary”, Boundary-value problems of mathematical physics and related problems of function theory. Part 37, Zap. Nauchn. Sem. POMI, 336, POMI, St. Petersburg, 2006, 133–152; J. Math. Sci. (N. Y.), 143:2 (2007), 2924–2935
Citation in format AMSBIB
\Bibitem{MikShi06}
\by A.~S.~Mikhailov, T.~N.~Shilkin
\paper $L_{3,\infty}$-solutions to the 3D-Navier--Stokes system in the domain with a~curved boundary
\inbook Boundary-value problems of mathematical physics and related problems of function theory. Part~37
\serial Zap. Nauchn. Sem. POMI
\yr 2006
\vol 336
\pages 133--152
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl200}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2270883}
\zmath{https://zbmath.org/?q=an:1178.35296}
\elib{https://elibrary.ru/item.asp?id=9307457}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2007
\vol 143
\issue 2
\pages 2924--2935
\crossref{https://doi.org/10.1007/s10958-007-0176-4}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34247376294}
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  • https://www.mathnet.ru/eng/znsl/v336/p133
    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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