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Dal'nevostochnyi Matematicheskii Zhurnal, 2003, Volume 4, Number 2, Pages 264–275
(Mi dvmg163)
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This article is cited in 2 scientific papers (total in 2 papers)
Regularity and uniqueness of the solution of the control problem for the stationary equations of magnetic hydrodynamics with mixed boundary conditions
R. V. Brizitskii Institute of Applied Mathematics, Far-Eastern Branch of the Russian Academy of Sciences
Abstract:
The control problems for the stationary equations of viscous magnetic hydrodynamics under mixed boundary conditions for the velocity and electric and magnetic fields are considered. The regularity of the Lagrange multiplier for the considered control problems is proved. The sufficient conditions of uniqueness of solutions of the control problem for the specific cost functional are established.
Key words:
magnetic hydrodynamics, viscous fluid, control problems, cost functional, Lagrange multipliers, optimality system.
Received: 10.12.2003
Citation:
R. V. Brizitskii, “Regularity and uniqueness of the solution of the control problem for the stationary equations of magnetic hydrodynamics with mixed boundary conditions”, Dal'nevost. Mat. Zh., 4:2 (2003), 264–275
Linking options:
https://www.mathnet.ru/eng/dvmg163 https://www.mathnet.ru/eng/dvmg/v4/i2/p264
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