Geodesic
Solution of the linear problem of thermal convection in liquid rotating layer
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 15 (2022) no. 3, pp. 273-280

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The initial boundary problem arising in the modeling of viscous fluid creeping rotational motion in a flat layer was solved. A stationary solution was found. The quadrature solution in images was obtained using the Laplace transform method. The time convergence of the the non-stationary problem solution to the established stationary solution was proved under certain conditions on the temperature distribution on the walls.
Keywords: thermal convection, stationary solution.
Mots-clés : Laplace transform 
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     title = {Solution of the linear problem of thermal convection in liquid rotating layer},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
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Victor K. Andreev; Liliya I. Latonova. Solution of the linear problem of thermal convection in liquid rotating layer. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 15 (2022) no. 3, pp. 273-280. http://geodesic.mathdoc.fr/item/JSFU_2022_15_3_a1/