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Dal'nevostochnyi Matematicheskii Zhurnal, 2004, Volume 5, Number 1, Pages 142–157 (Mi dvmg182)  

This article is cited in 1 scientific paper (total in 1 paper)

On uniqueness of solutions of control problems for the stationary model of viscous magnetic hydrodynamics

G. V. Alekseev

Institute of Applied Mathematics, Far-Eastern Branch of the Russian Academy of Sciences
Full-text PDF (235 kB) Citations (1)
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Abstract: Control problems for the stationary model of viscous magnetic hydrodynamics under inhomogeneous boundary conditions for the velocity and electromagnetic field are considered. These problems consist of minimization of certain cost functionals dependent on weak solutions of the boundary value problems. The sufficient conditions of the regularity of the Lagrange multipliers and the local uniqueness of the solutions of the control problems are deduced.
Key words: magnetic hydrodynamics, viscous fluid, control problems, optimality systems, local regularity.
Received: 12.11.2003
Document Type: Article
UDC: 517.95
MSC: 76W05
Language: Russian
Citation: G. V. Alekseev, “On uniqueness of solutions of control problems for the stationary model of viscous magnetic hydrodynamics”, Dal'nevost. Mat. Zh., 5:1 (2004), 142–157
Citation in format AMSBIB
\Bibitem{Ale04}
\by G.~V.~Alekseev
\paper On uniqueness of solutions of control problems for the stationary model of viscous magnetic hydrodynamics
\jour Dal'nevost. Mat. Zh.
\yr 2004
\vol 5
\issue 1
\pages 142--157
\mathnet{http://mi.mathnet.ru/dvmg182}
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  • This publication is cited in the following 1 articles:
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