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Matematicheskie Zametki, 2018, Volume 103, Issue 1, Pages 147–157
DOI: https://doi.org/10.4213/mzm11426 (Mi mzm11426) 		 
This article is cited in 1 scientific paper (total in 1 paper)

A Priori Estimates of the Solution of the Problem of the Unidirectional Thermogravitational Motion of a Viscous Liquid in the Plane Channel

E. N. Cheremnykhab

a Institute of Computational Modelling, Siberian Branch of the Russian Academy of Sciences, Krasnoyarsk
b Siberian Federal University, Krasnoyarsk
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DOI: https://doi.org/10.4213/mzm11426
Abstract: We consider an initial boundary-value problem describing the unidirectional motion of a liquid in the Oberbeck–Boussinesq model in a plane channel with rigid immovable walls on which the temperature distribution is given (or the upper wall is heat-insulated). For this problem, we obtain a priori estimates, find an exact stationary solution, and determine conditions under which the solution converges to its stationary regime.
Keywords: initial boundary-value problem, inverse problem, a priori estimate.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00067
Received: 25.10.2016
Revised: 28.04.2017
English version:
Mathematical Notes, 2018, Volume 103, Issue 1, Pages 145–154
DOI: https://doi.org/10.1134/S0001434618010169
Bibliographic databases:
Document Type: Article
UDC: 517
Language: Russian
Citation: E. N. Cheremnykh, “A Priori Estimates of the Solution of the Problem of the Unidirectional Thermogravitational Motion of a Viscous Liquid in the Plane Channel”, Mat. Zametki, 103:1 (2018), 147–157; Math. Notes, 103:1 (2018), 145–154
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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