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Zapiski Nauchnykh Seminarov POMI, 2008, Volume 362, Pages 325–336 (Mi znsl2201)  
This article is cited in 4 scientific papers (total in 4 papers)

On a reverse Hölder inequality for a class of suitable weak solutions to the Navier–Stokes equations

G. A. Seregin

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (187 kB) Citations (4)
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Abstract: In the paper, we consider a special class of suitable weak solutions to the three-dimensional nonstationary Navier–Stokes equations and prove a reverse Hölder inequality for them. The interesting feature of this class is that it contains solutions having majorants invariant to the Navier–Stokes scaling. Bibl. – 3 titles.
Received: 12.11.2008
English version:
Journal of Mathematical Sciences (New York), 2009, Volume 159, Issue 4, Pages 573–579
DOI: https://doi.org/10.1007/s10958-009-9462-7
Bibliographic databases:
UDC: 517
Language: English
Citation: G. A. Seregin, “On a reverse Hölder inequality for a class of suitable weak solutions to the Navier–Stokes equations”, Boundary-value problems of mathematical physics and related problems of function theory. Part 39, Zap. Nauchn. Sem. POMI, 362, POMI, St. Petersburg, 2008, 325–336; J. Math. Sci. (N. Y.), 159:4 (2009), 573–579
Citation in format AMSBIB
\Bibitem{Ser08}
\by G.~A.~Seregin
\paper On a~reverse H\"older inequality for a~class of suitable weak solutions to the Navier--Stokes equations
\inbook Boundary-value problems of mathematical physics and related problems of function theory. Part~39
\serial Zap. Nauchn. Sem. POMI
\yr 2008
\vol 362
\pages 325--336
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl2201}
\zmath{https://zbmath.org/?q=an:05633102}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2009
\vol 159
\issue 4
\pages 573--579
\crossref{https://doi.org/10.1007/s10958-009-9462-7}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-67349240959}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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