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Zapiski Nauchnykh Seminarov LOMI, 1984, Volume 140, Pages 179–186 (Mi znsl4084)  
This article is cited in 22 scientific papers (total in 22 papers)

Solvability of the problem of evolution of an isolated volume of viscous, incompressible capillary fluid

V. A. Solonnikov
Full-text PDF (344 kB) Citations (22)
Abstract: The initial boundary-value problem for the Navier–Stokes equation describing the flow of a viscous, incompressible capillary fluid bounded only by a free surface is considered. At the initial time the region occupied by the fluid and the velocity field of the fluid are given. A theorem is formulated regarding the unique solvability of the problem for a finite time interval, and a model linearized problem in a half space is obtained.
English version:
Journal of Soviet Mathematics, 1986, Volume 32, Issue 2, Pages 223–228
DOI: https://doi.org/10.1007/BF01084162
Bibliographic databases:
Document Type: Article
UDC: 517.944.4
Language: Russian
Citation: V. A. Solonnikov, “Solvability of the problem of evolution of an isolated volume of viscous, incompressible capillary fluid”, Mathematical problems in the theory of wave propagation. Part 14, Zap. Nauchn. Sem. LOMI, 140, "Nauka", Leningrad. Otdel., Leningrad, 1984, 179–186; J. Soviet Math., 32:2 (1986), 223–228
Citation in format AMSBIB
\Bibitem{Sol84}
\by V.~A.~Solonnikov
\paper Solvability of the problem of evolution of an isolated volume of viscous, incompressible capillary fluid
\inbook Mathematical problems in the theory of wave propagation. Part~14
\serial Zap. Nauchn. Sem. LOMI
\yr 1984
\vol 140
\pages 179--186
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl4084}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=765724}
\zmath{https://zbmath.org/?q=an:0551.76022}
\transl
\jour J. Soviet Math.
\yr 1986
\vol 32
\issue 2
\pages 223--228
\crossref{https://doi.org/10.1007/BF01084162}
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  • https://www.mathnet.ru/eng/znsl/v140/p179
    • This publication is cited in the following 22 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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