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Mathematics of the USSR-Izvestiya, 1977, Volume 11, Issue 6, Pages 1323–1358
DOI: https://doi.org/10.1070/IM1977v011n06ABEH001770
(Mi im2076)
 

This article is cited in 73 scientific papers (total in 74 papers)

Solvability of a problem on the motion of a viscous incompressible fluid bounded by a free surface

V. A. Solonnikov
References:
Abstract: We prove the existence of a single-valued classical solution, local with respect to the time, of an initial-boundary value problem for the system of Navier–Stokes equations describing, in a specified force field, the motion of a finite mass of fluid with a free surface. In this problem, not only are the velocity and pressure of the fluid to be determined, but also the region which the fluid occupies at each instant of time. In studying this problem we employ Lagrangian coordinates.
Bibliography: 10 titles.
Received: 26.11.1976
Bibliographic databases:
UDC: 517.944.4
MSC: 35Q10, 76D05
Language: English
Original paper language: Russian
Citation: V. A. Solonnikov, “Solvability of a problem on the motion of a viscous incompressible fluid bounded by a free surface”, Math. USSR-Izv., 11:6 (1977), 1323–1358
Citation in format AMSBIB
\Bibitem{Sol77}
\by V.~A.~Solonnikov
\paper Solvability of a~problem on the motion of a~viscous incompressible fluid bounded by a~free surface
\jour Math. USSR-Izv.
\yr 1977
\vol 11
\issue 6
\pages 1323--1358
\mathnet{http://mi.mathnet.ru//eng/im2076}
\crossref{https://doi.org/10.1070/IM1977v011n06ABEH001770}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=495629}
\zmath{https://zbmath.org/?q=an:0384.76019|0398.76024}
Linking options:
  • https://www.mathnet.ru/eng/im2076
  • https://doi.org/10.1070/IM1977v011n06ABEH001770
  • https://www.mathnet.ru/eng/im/v41/i6/p1388
  • This publication is cited in the following 74 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:725
    Russian version PDF:258
    English version PDF:28
    References:70
    First page:1
     
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