Stability estimates for the solutions of control problems for the stationary magnetohydrodynamic equations |
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| Authors: | G V Alekseev R V Brizitskii |
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| Institution: | 1.Far-Eastern Federal University,Vladivostok,Russia;2.Institute for Applied Mathematics,Far-Eastern Branch of the Russian Academy of Sciences,Vladivostok,Russia |
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| Abstract: | We study control problems for the stationary magnetohydrodynamic equations. In these problems, one has to find an unknown
vector function occurring in the boundary condition for the magnetic field and the solution of the boundary value problem
in question by minimizing a performance functional depending on the velocity and pressure. We derive new a priori estimates
for the solutions of the original boundary value problem and the extremal problem and prove theorems on the local uniqueness
and stability of solutions for specific performance functionals. |
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