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Zapiski Nauchnykh Seminarov LOMI, 1986, Volume 152, Pages 137–157 (Mi znsl5124)  
This article is cited in 6 scientific papers (total in 7 papers)

On an unsteady flow of a finite mass of a liquid bounded by a free surface

V. A. Solonnikov
Full-text PDF (815 kB) Citations (7)
Abstract: It is proved that the intial-value problem for the Navier–Stokes equations describing the motion of a viscous incompressible liquid bounded by a free surface has the unique solution in an infinite time interval $t>0$, if the domain occupied by the biquid is close to a ball and the velocity vector field is small at the initial moment of time.
Bibliographic databases:
Document Type: Article
UDC: 517.946
Language: Russian
Citation: V. A. Solonnikov, “On an unsteady flow of a finite mass of a liquid bounded by a free surface”, Boundary-value problems of mathematical physics and related problems of function theory. Part 18, Zap. Nauchn. Sem. LOMI, 152, "Nauka", Leningrad. Otdel., Leningrad, 1986, 137–157
Citation in format AMSBIB
\Bibitem{Sol86}
\by V.~A.~Solonnikov
\paper On an unsteady flow of a~finite mass of a~liquid bounded by a~free surface
\inbook Boundary-value problems of mathematical physics and related problems of function theory. Part~18
\serial Zap. Nauchn. Sem. LOMI
\yr 1986
\vol 152
\pages 137--157
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl5124}
\zmath{https://zbmath.org/?q=an:0614.76026}
Linking options:
  • https://www.mathnet.ru/eng/znsl5124
  • https://www.mathnet.ru/eng/znsl/v152/p137
    • 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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