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Zapiski Nauchnykh Seminarov POMI, 2009, Volume 370, Pages 151–159 (Mi znsl3536)  

This article is cited in 23 scientific papers (total in 23 papers)

A note on local boundary regularity for the Stokes system

G. A. Seregin

St. Petersburg Department of V. A. Steklov Institute of Mathematics of the Russian Academy of Sciences, St. Petersburg, Russia
References:
Abstract: In the present paper, local boundary regularity of weak solutions to the non-stationary Stokes system is studied. Under reasonable conditions, existence of the first derivative in time and the second spatial derivatives of the the velocity field and their higher integrability with respect to spatial variables are proved. Bibl. – 3 titles.
Key words and phrases: boundary regularity, Stokes system.
Received: 20.09.2009
English version:
Journal of Mathematical Sciences (New York), 2010, Volume 166, Issue 1, Pages 86–90
DOI: https://doi.org/10.1007/s10958-010-9847-7
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: English
Citation: G. A. Seregin, “A note on local boundary regularity for the Stokes system”, Boundary-value problems of mathematical physics and related problems of function theory. Part 40, Zap. Nauchn. Sem. POMI, 370, POMI, St. Petersburg, 2009, 151–159; J. Math. Sci. (N. Y.), 166:1 (2010), 86–90
Citation in format AMSBIB
\Bibitem{Ser09}
\by G.~A.~Seregin
\paper A note on local boundary regularity for the Stokes system
\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 151--159
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3536}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2010
\vol 166
\issue 1
\pages 86--90
\crossref{https://doi.org/10.1007/s10958-010-9847-7}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77949282289}
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  • https://www.mathnet.ru/eng/znsl/v370/p151
  • This publication is cited in the following 23 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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