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Matematicheskoe modelirovanie, 2008, Volume 20, Number 3, Pages 3–8 (Mi mm2156)  

This article is cited in 3 scientific papers (total in 3 papers)

The generalized statement of the problem of a two–phase liquid flow with continuously changing interface

A. V. Rukavishnikov

Institute for Applied Mathematics, Khabarovsk Division, Far-Eastern Branch of the Russian Academy of Sciences
Full-text PDF (149 kB) Citations (3)
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Abstract: In the paper the two-dimension problem of a two-phase immiscible liquid flow in the formulation of the incompressible Navier-Stokes equations with continuously changing interface is considered. For its definition during each moment of time is used so-called level set function. Besides discontinuous coefficients of kinematic viscosity and density in the formulation of a problem the effect of a surface tension is included. The generalized statement of a problem included conditions of the matching of the solution (in weak sense) on the common boundary between liquids is certain.
Received: 19.02.2006
Bibliographic databases:
Language: Russian
Citation: A. V. Rukavishnikov, “The generalized statement of the problem of a two–phase liquid flow with continuously changing interface”, Matem. Mod., 20:3 (2008), 3–8
Citation in format AMSBIB
\Bibitem{Ruk08}
\by A.~V.~Rukavishnikov
\paper The generalized statement of the problem of a two--phase liquid flow with continuously changing interface
\jour Matem. Mod.
\yr 2008
\vol 20
\issue 3
\pages 3--8
\mathnet{http://mi.mathnet.ru/mm2156}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2423517}
\zmath{https://zbmath.org/?q=an:1150.76527}
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  • https://www.mathnet.ru/eng/mm/v20/i3/p3
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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