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Sibirskii Matematicheskii Zhurnal, 2004, Volume 45, Number 2, Pages 243–263 (Mi smj1066)  
This article is cited in 38 scientific papers (total in 38 papers)

Solvability of control problems for stationary equations of magnetohydrodynamics of a viscous fluid

G. V. Alekseev

Institute of Applied Mathematics, Far-Eastern Branch of the Russian Academy of Sciences
Full-text PDF (319 kB) Citations (38)
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Abstract: We consider the boundary-value problem for the stationary equations of magnetohydrodynamics of a viscous incompressible fluid with nonhomogeneous boundary conditions for the velocity and electromagnetic field. We study global solvability of this problem and establish some sufficient conditions for uniqueness of its solution. We state control problems for the model of magnetohydrodynamics under consideration, study their solvability, give and examine optimality systems for both arbitrary and particular quality functionals.
Keywords: magnetohydrodynamics, viscous fluid, nonhomogeneous boundary-value problem, control problem, optimality system.
Received: 10.03.2003
English version:
Siberian Mathematical Journal, 2004, Volume 45, Issue 2, Pages 197–213
DOI: https://doi.org/10.1023/B:SIMJ.0000021277.82617.3b
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: G. V. Alekseev, “Solvability of control problems for stationary equations of magnetohydrodynamics of a viscous fluid”, Sibirsk. Mat. Zh., 45:2 (2004), 243–263; Siberian Math. J., 45:2 (2004), 197–213
Citation in format AMSBIB
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\pages 243--263
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\transl
\jour Siberian Math. J.
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\issue 2
\pages 197--213
\crossref{https://doi.org/10.1023/B:SIMJ.0000021277.82617.3b}
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    • This publication is cited in the following 38 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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