On the uniqueness and stability of solutions of extremal problems for the stationary Navier-Stokes equations |
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Authors: | G V Alekseev R V Brizitskii |
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Institution: | 1.Institute for Applied Mathematics,Far East Branch of the Russian Academy of Sciences,Vladivostok,Russia |
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Abstract: | We consider inverse extremal problems for the stationary Navier-Stokes equations. In these problems, one seeks an unknown
vector function occurring in the Dirichlet boundary condition for the velocity and the solution of the considered boundary
value problem on the basis of the minimization of some performance functional. We derive new a priori estimates for the solutions
of the considered extremal problems and use them to prove theorems of the local uniqueness and stability of solutions for
specific performance functionals. |
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Keywords: | |
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