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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2005, Volume 45, Number 12, Pages 2131–2147 (Mi zvmmf547)  
This article is cited in 8 scientific papers (total in 8 papers)

Control problems for stationary magnetohydrodynamic equations of a viscous heat-conducting fluid under mixed boundary conditions

G. V. Alekseev, R. V. Brizitskii

Institute of Applied Mathematics, Far East Division, Russian Academy of Sciences, ul. Radio 7, Vladivostok, 690041, Russia
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Abstract: Control problems for the stationary magnetohydrodynamic model of a viscous heat-conducting fluid are studied under mixed boundary conditions imposed on the velocity, electromagnetic field, and temperature. It is proved that the original boundary value problem and the general control problem are solvable. The application of the Lagrange principle is validated, the regularity of Lagrange multipliers is investigated, and local conditions for the uniqueness of a solution to control problems for specific cost functionals are derived.
Received: 27.05.2004
Bibliographic databases:
Document Type: Article
UDC: 519.626.2
Language: Russian
Citation: G. V. Alekseev, R. V. Brizitskii, “Control problems for stationary magnetohydrodynamic equations of a viscous heat-conducting fluid under mixed boundary conditions”, Zh. Vychisl. Mat. Mat. Fiz., 45:12 (2005), 2131–2147; Comput. Math. Math. Phys., 45:12 (2005), 2049–2065
Citation in format AMSBIB
\Bibitem{AleBri05}
\by G.~V.~Alekseev, R.~V.~Brizitskii
\paper Control problems for stationary magnetohydrodynamic equations of a viscous heat-conducting fluid under mixed boundary conditions
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2005
\vol 45
\issue 12
\pages 2131--2147
\mathnet{http://mi.mathnet.ru/zvmmf547}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2203662}
\transl
\jour Comput. Math. Math. Phys.
\yr 2005
\vol 45
\issue 12
\pages 2049--2065
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  • https://www.mathnet.ru/eng/zvmmf/v45/i12/p2131
    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    References:63
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