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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2010, Volume 16, Number 1, Pages 76–101 (Mi timm530)  
This article is cited in 25 scientific papers (total in 25 papers)

Optimal boundary control of a system describing thermal convection

A. I. Korotkii, D. A. Kovtunov

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
Full-text PDF (602 kB) Citations (25)
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Abstract: A problem of optimal boundary control of thermal sources for a stationary model of natural thermal convection of a high-viscosity inhomogeneous incompressible fluid in the Boussinesq approximation is investigated. Some conditions for the solvability of the problem are given; necessary and sufficient optimality conditions are specified. Optimality conditions and the corresponding conjugate problems defining the gradient of the quality functional are written for a number of particular cases of the functional. Procedures for the numerical finding of an optimal control based on gradient methods are described. The results of numerical experiments are given.
Keywords: optimal control, thermal convection, gradient method.
Received: 04.09.2009
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2011, Volume 272, Issue 1, Pages S74–S100
DOI: https://doi.org/10.1134/S0081543811020076
Bibliographic databases:
Document Type: Article
UDC: 534.4+517.9
Language: Russian
Citation: A. I. Korotkii, D. A. Kovtunov, “Optimal boundary control of a system describing thermal convection”, Trudy Inst. Mat. i Mekh. UrO RAN, 16, no. 1, 2010, 76–101; Proc. Steklov Inst. Math. (Suppl.), 272, suppl. 1 (2011), S74–S100
Citation in format AMSBIB
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\paper Optimal boundary control of a~system describing thermal convection
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2010
\vol 16
\issue 1
\pages 76--101
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\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
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\vol 272
\issue , suppl. 1
\pages S74--S100
\crossref{https://doi.org/10.1134/S0081543811020076}
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    • This publication is cited in the following 25 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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