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Zapiski Nauchnykh Seminarov POMI, 2006, Volume 336, Pages 199–210 (Mi znsl202)  
This article is cited in 27 scientific papers (total in 27 papers)

Estimates of suitable weak solutions to the Navier–Stokes equations in critical Morrey spaces

G. A. Seregin

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (171 kB) Citations (27)
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Abstract: We prove some estimates for suitable weak solutions to the nonstationary three-dimensional Navier–Stokes equations under assumptions that certain invariant functionals of the velocity field are bounded.
Received: 25.01.2006
English version:
Journal of Mathematical Sciences (New York), 2007, Volume 143, Issue 2, Pages 2961–2968
DOI: https://doi.org/10.1007/s10958-007-0178-2
Bibliographic databases:
UDC: 517
Language: English
Citation: G. A. Seregin, “Estimates of suitable weak solutions to the Navier–Stokes equations in critical Morrey spaces”, Boundary-value problems of mathematical physics and related problems of function theory. Part 37, Zap. Nauchn. Sem. POMI, 336, POMI, St. Petersburg, 2006, 199–210; J. Math. Sci. (N. Y.), 143:2 (2007), 2961–2968
Citation in format AMSBIB
\Bibitem{Ser06}
\by G.~A.~Seregin
\paper Estimates of suitable weak solutions to the Navier--Stokes equations in critical Morrey spaces
\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 199--210
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl202}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2270885}
\zmath{https://zbmath.org/?q=an:1127.35042}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2007
\vol 143
\issue 2
\pages 2961--2968
\crossref{https://doi.org/10.1007/s10958-007-0178-2}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34247548774}
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  • https://www.mathnet.ru/eng/znsl/v336/p199
    • This publication is cited in the following 27 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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