Geodesic
Three-Dimensional Vortex Flows of Incompressible Media in the Case of the Constant Volume Saturation Substances
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 14 (2014) no. 2, pp. 15-23 Cet article a éte moissonné depuis la source Math-Net.Ru

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The description of the flow of an incompressible viscous fluid for the case of the balance of pressure phases at constant volume saturation substances by scalar functions has been obtained. A system of differential equations for these functions. An example to illustrate this method.
Keywords: two-velocity hydrodynamics, hyperbolic system, vortex flow, quasipotential, Bernoulli integral.
Mots-clés : viscous fluid 
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N. M. Zhabborov; Kh. Kh. Imomnazarov; P. V. Korobov. Three-Dimensional Vortex Flows of Incompressible Media in the Case of the Constant Volume Saturation Substances. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 14 (2014) no. 2, pp. 15-23. http://geodesic.mathdoc.fr/item/VNGU_2014_14_2_a2/

[1] P. G. Saffman, Vortex Dynamics, Cambridge Univ. Press, Cambridge, 1992 | MR | Zbl

[2] D. V. Nalivkin, Hurricanes, Storms and Tornadoes, Nauka, L., 1969 (in Russian)

[3] A. S. Monin, V. M. Kamenkovich (eds.), Oceanology. Ocean Physics, v. 1, Ocean hydrophysics, Nauka, M., 1978 (in Russian)

[4] S. V. Alekseenko, P. A. Kuybin, V. L. Okulov, Introduction to the Theory of Concentrated Vortices, Novosibirsk, 2003 (in Russian)

[5] Yu. A. Stepanyants, E. I. Yakubovich, “Scalar description of three-dimensional vortex flows of incompressible fluid”, Dokl. RAN, 436:6 (2011), 764–767 (in Russian)

[6] V. N. Dorovskiy, “Continuum theory of filtration”, Geolog. i Geophys., 1989, no. 7, 39–45 (in Russian) | MR

[7] V. N. Dorovskiy, Yu. V. Perepechko, “Phenomenological description of two-speed medium with relaxing shear stresses”, Prikl. Mekh. Tekhn. Fiz., 1992, no. 3, 94–105 (in Russian) | MR

[8] V. N. Dorovskiy, Yu. V. Perepechko, “The theory of partial melting”, Geolog. i Geophys., 1989, no. 9, 56–64 (in Russian)

[9] A. M. Obukhov, “Kolmogorov flow and laboratory simulation of it”, Rus. Math. Surv., 38:4 (1983), 113 | DOI | MR | Zbl