Geodesic
On a creeping 3D convective motion of fluids with an isothermal interface
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 13 (2020) no. 6, pp. 661-669

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In the work the 3D two-layer motion of liquids, the velocity field of which has a special form, is considered. The arising conjugate initial boundary value problem for the Oberbek–Boussinesq model is reduced to a system of ten integrodifferential equations with full conditions on a flat interface. It is shown that for small Marangoni numbers the stationary problem can have up to two solutions. The case when the stationary flow arises due to a change in the internal interphase energy is analyzed separately.
Keywords: interphase energy, creeping flow, inverse problem.
Mots-clés : Oberbek-Boussinesq model 
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     author = {Viktor K. Andreev},
     title = {On a creeping {3D} convective motion of fluids with an isothermal interface},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
     pages = {661--669},
     publisher = {mathdoc},
     volume = {13},
     number = {6},
     year = {2020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2020_13_6_a0/}
}
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Viktor K. Andreev. On a creeping 3D convective motion of fluids with an isothermal interface. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 13 (2020) no. 6, pp. 661-669. http://geodesic.mathdoc.fr/item/JSFU_2020_13_6_a0/