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Study of a class of control problems for the stationary Navier-Stokes equations with mixed boundary conditions

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Abstract

Under study are extremal problems for the stationary Navier-Stokes equations with mixed boundary conditions on velocity. Some new a priori estimates are deduced for solutions to the extremal problems under consideration. These yield some local theorems on the uniqueness and stability of solutions for the particular quality functionals that depend on the total pressure.

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Authors and Affiliations

  1. Institute of Applied Mathematics, ul. Radio 7, Vladivostok, 690041, Russia

    R. V. Brizitskii

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  1. R. V. Brizitskii
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Correspondence to R. V. Brizitskii.

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Original Russian Text © R.V. Brizitskii, 2009, published in Sibirskii Zhurnal Industrial’noi Matematiki, 2009, Vol. XII, No. 2, pp. 17–26.

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Brizitskii, R.V. Study of a class of control problems for the stationary Navier-Stokes equations with mixed boundary conditions. J. Appl. Ind. Math. 4, 309–317 (2010). https://doi.org/10.1134/S1990478910030026

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  • DOI: https://doi.org/10.1134/S1990478910030026

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