Geodesic
Construction of an exact solution of special type for the 3D problem of thermosolutal convection in two layered system
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 16 (2023) no. 1, pp. 26-34.

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A three-dimensional joint flow of a liquid and a binary mixture with common interface is considered. It is assumed that the temperature field in the layers has a quadratic distribution. An exact solution of certian model problem is constructed, explicit expression for all the required function are obtained using a specific closing relation.
Keywords: Oberbeck–Boussinesq approximation, surface energy, binary mixture. 
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Marina V. Efimova. Construction of an exact solution of special type for the 3D problem of thermosolutal convection in two layered system. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 16 (2023) no. 1, pp. 26-34. http://geodesic.mathdoc.fr/item/JSFU_2023_16_1_a2/

[1] V.K.Andreev, Yu.A.Gaponenko,O.N.Goncharova, V.V.Pukhnachov, Mathematical models of convection, de Gruyter studies in mathematical physics, De Gruyter, Berlin/Boston, 2012

[2] V.B.Bekezhanova, O.N.Goncharova, I.A.Shefer, “Analysis of an Exact Solution of Problem of the Evaporative Convection (Review). Part I. Plane Case”, J. Sib. Fed. Univ. Math. Phys., 11:2 (2018), 178–190 | DOI

[3] V.B.Bekezhanova, O.N.Goncharova, I.A.Shefer, “Analysis of an Exact Solution of Problem of the Evaporative Convection (Review). Part II. Three-dimensional Flows”, J. Sib. Fed. Univ. Math. Phys., 11:3 (2018), 342–355 | DOI

[4] V.V.Pukhnachov, “Model of a viscous layer deformation by thermocapillary forces”, European Journal of Applied Mathematics, 13 (2002), 205–224 | DOI