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Zapiski Nauchnykh Seminarov POMI, 1994, Volume 213, Pages 93–115 (Mi znsl5909)  

This article is cited in 7 scientific papers (total in 7 papers)

Initial-boundary value problem with a free surface condition for the modified Navier–Stokes equations

A. P. Oskolkov

St. Petersburg Department of V. A. Steklov Institute of Mathematics of the Russian Academy of Sciences
Full-text PDF (789 kB) Citations (7)
Abstract: In this paper we study the global classical solvability on the semiaxis $t\in\mathbb R^+$ of the second initial-boundary value problem with a free surface condition (0.1) for other modified Navier–Stokes equations: Ladyzhenskaya's equations (0.3), equations of Jeffrey–Oldroyd fluids (0.4), equations of Kelvin–Voight fluids (0.5) and equations of aqueous solutions of polymers (0.6). Bibliography: 31 titles.
Received: 25.07.1993
English version:
Journal of Mathematical Sciences (New York), 1997, Volume 84, Issue 1, Pages 873–887
DOI: https://doi.org/10.1007/BF02399939
Bibliographic databases:
Document Type: Article
UDC: 517.94
Language: Russian
Citation: A. P. Oskolkov, “Initial-boundary value problem with a free surface condition for the modified Navier–Stokes equations”, Boundary-value problems of mathematical physics and related problems of function theory. Part 25, Zap. Nauchn. Sem. POMI, 213, Nauka, St. Petersburg, 1994, 93–115; J. Math. Sci. (New York), 84:1 (1997), 873–887
Citation in format AMSBIB
\Bibitem{Osk94}
\by A.~P.~Oskolkov
\paper Initial-boundary value problem with a~free surface condition for the modified Navier--Stokes equations
\inbook Boundary-value problems of mathematical physics and related problems of function theory. Part~25
\serial Zap. Nauchn. Sem. POMI
\yr 1994
\vol 213
\pages 93--115
\publ Nauka
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5909}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1329312}
\zmath{https://zbmath.org/?q=an:0867.35071|0872.35079}
\transl
\jour J. Math. Sci. (New York)
\yr 1997
\vol 84
\issue 1
\pages 873--887
\crossref{https://doi.org/10.1007/BF02399939}
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  • https://www.mathnet.ru/eng/znsl/v213/p93
  • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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