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
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.
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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
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\paper The generalized statement of the problem of a two--phase liquid flow with continuously changing interface
\jour Matem. Mod.
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A. V. Rukavishnikov, “Nekonformnyi metod konechnykh elementov dlya odnoi zadachi gidrodinamiki s krivolineinym interfeisom”, Zh. vychisl. matem. i matem. fiz., 52:6 (2012), 1072–1094
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