This article is cited in 4 scientific papers (total in 4 papers)
On one two-dimensional stationary flow of a binary mixture and viscous fluid in a plane layer
Marina V. Efimova
Institute of Computational modelling SB RAS, Akademgorodok, 50/44, Krasnoyarsk, 660036, Russia
Nonlinear model of convection in Oberbeck–Boussinesq approximation describing the flat joint motion of a binary mixture and viscous fluid with a common interface is investigated. It is important that the longitudinal temperature gradient and the concentration is quadratic dependence on the coordinate $x$. Stationary solution of the system is built.
Oberbeck-Boussinesq equations, convective motion, binary mixture, steady flow.
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Received in revised form: 10.11.2015
Marina V. Efimova, “On one two-dimensional stationary flow of a binary mixture and viscous fluid in a plane layer”, J. Sib. Fed. Univ. Math. Phys., 9:1 (2016), 30–36
Citation in format AMSBIB
\paper On one two-dimensional stationary flow of a binary mixture and viscous fluid in a plane layer
\jour J. Sib. Fed. Univ. Math. Phys.
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S. S. Vlasova, E. Yu. Prosviryakov, “Two-dimensional convection of an incompressible viscous fluid with the heat exchange on the free border”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 20:3 (2016), 567–577
V. K. Andreev, M. V. Efimova, “Properties of solutions for the problem of a joint slow motion of a liquid and a binary mixture in a two-dimensional channel”, J. Appl. Industr. Math., 12:3 (2018), 395–408
Victor K. Andreev, Marina V. Efimova, “A priori estimates of the adjoint problem describing the slow flow of a binary mixture and a fluid in a channel”, Zhurn. SFU. Ser. Matem. i fiz., 11:4 (2018), 482–493
E. Yu. Prosviryakov, “New class of exact solutions of navier-stokes equations with exponential dependence of velocity on two spatial coordinates”, Theor. Found. Chem. Eng., 53:1 (2019), 107–114
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