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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2003, Volume 44, Issue 6, Pages 170–179 (Mi pmtf2571)  

This article is cited in 12 scientific papers (total in 12 papers)

Control problems for the steady-state equations of magnetohydrodynamics of a viscous incompressible fluid

G. V. Alekseev

Institute of Applied Mathematics, Far East Division, Russian Academy of Sciences, Vladivostok, 690041
Abstract: Control problems for a steady-state model of the magnetohydrodynamics of a viscous incompressible fluid in a bounded domain with an impermeable, perfectly conducting boundary are formulated. The resolvability of the problems is studied, the use of the Lagrange principle is justified, and optimality systems are analyzed.
Keywords: magnetohydrodynamics, viscous fluid, control problems.
Received: 11.03.2003
Accepted: 16.06.2003
English version:
Journal of Applied Mechanics and Technical Physics, 2003, Volume 44, Issue 6, Pages 890–899
DOI: https://doi.org/10.1023/A:1026256325488
Bibliographic databases:
Document Type: Article
UDC: 537.84
Language: Russian
Citation: G. V. Alekseev, “Control problems for the steady-state equations of magnetohydrodynamics of a viscous incompressible fluid”, Prikl. Mekh. Tekh. Fiz., 44:6 (2003), 170–179; J. Appl. Mech. Tech. Phys., 44:6 (2003), 890–899
Citation in format AMSBIB
\Bibitem{Ale03}
\by G.~V.~Alekseev
\paper Control problems for the steady-state equations of magnetohydrodynamics of a viscous incompressible fluid
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2003
\vol 44
\issue 6
\pages 170--179
\mathnet{http://mi.mathnet.ru/pmtf2571}
\elib{https://elibrary.ru/item.asp?id=17274863}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2003
\vol 44
\issue 6
\pages 890--899
\crossref{https://doi.org/10.1023/A:1026256325488}
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  • https://www.mathnet.ru/eng/pmtf/v44/i6/p170
  • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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