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Zapiski Nauchnykh Seminarov POMI, 2008, Volume 362, Pages 120–152 (Mi znsl2195)  

This article is cited in 2 scientific papers (total in 2 papers)

Special global regular solutions to the Navier–Stokes equations

W. M. Zajączkowskiab

a Institute of Mathematics of the Polish Academy of Sciences
b Institute of Mathematics and Cryptology, Cybernetics Faculty, Military University of Technology
Full-text PDF (327 kB) Citations (2)
References:
Abstract: We present the existence results of global regular solutions to the Navier–Stokes equations which are close either to two-dimensional or to axially-symmetric solutions. We assume the slip-boundary conditions. Moreover, the considered domains are either cylindrical or axially symmetric. We examine problems with and without inflow-outflow. All proofs can be divided into two steps: 1. long time existence by either the Leray–Schauder fixed point theorem or the method of successive approximations, 2. global existence by prolongation of the local solution with respect to time. Bibl. – 32 titles.
Received: 27.11.2008
English version:
Journal of Mathematical Sciences (New York), 2009, Volume 159, Issue 4, Pages 452–471
DOI: https://doi.org/10.1007/s10958-009-9456-5
Bibliographic databases:
UDC: 517
Language: English
Citation: W. M. Zajączkowski, “Special global regular 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, 120–152; J. Math. Sci. (N. Y.), 159:4 (2009), 452–471
Citation in format AMSBIB
\Bibitem{Zaj08}
\by W.~M.~Zaj{\k a}czkowski
\paper Special global regular 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 120--152
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl2195}
\zmath{https://zbmath.org/?q=an:1179.35229}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2009
\vol 159
\issue 4
\pages 452--471
\crossref{https://doi.org/10.1007/s10958-009-9456-5}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-67349244295}
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  • https://www.mathnet.ru/eng/znsl/v362/p120
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    References:50
     
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