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Dal'nevostochnyi Matematicheskii Zhurnal, 2004, Volume 5, Number 1, Pages 142–157
(Mi dvmg182)
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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
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
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
Linking options:
https://www.mathnet.ru/eng/dvmg182 https://www.mathnet.ru/eng/dvmg/v5/i1/p142
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