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Journal of Siberian Federal University. Mathematics & Physics, 2022, Volume 15, Issue 3, Pages 273–280
DOI: https://doi.org/10.17516/1997-1397-2022-15-3-273-280
(Mi jsfu996)
 

Solution of the linear problem of thermal convection in liquid rotating layer

Victor K. Andreeva, Liliya I. Latonovab

a Institute of Computational Modeling SB RAS, Krasnoyarsk, Russian Federation
b Siberian Federal University, Krasnoyarsk, Russian Federation
References:
Abstract: 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, Laplace transform, stationary solution.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-02-2022-876
This work is supported by the Krasnoyarsk Mathematical Center and financed by the Ministry of Science and Higher Education of the Russian Federation in the framework of the establishment and development of regional Centers for Mathematics Research and Education (Agreement No. 075-02-2022-876).
Received: 29.10.2021
Received in revised form: 19.12.2021
Accepted: 10.02.2022
Bibliographic databases:
Document Type: Article
UDC: 536.252
Language: English
Citation: Victor K. Andreev, Liliya I. Latonova, “Solution of the linear problem of thermal convection in liquid rotating layer”, J. Sib. Fed. Univ. Math. Phys., 15:3 (2022), 273–280
Citation in format AMSBIB
\Bibitem{AndLat22}
\by Victor~K.~Andreev, Liliya~I.~Latonova
\paper Solution of the linear problem of thermal convection in liquid rotating layer
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2022
\vol 15
\issue 3
\pages 273--280
\mathnet{http://mi.mathnet.ru/jsfu996}
\crossref{https://doi.org/10.17516/1997-1397-2022-15-3-273-280}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4442663}
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    Журнал Сибирского федерального университета. Серия "Математика и физика"
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