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Existence of Optimal Control for a Nonlinear-Viscous Fluid Model

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  • Evgenii S. Baranovskii
  • Mikhail A. Artemov

Abstract

We consider the optimal control problem for a mathematical model describing steady flows of a nonlinear-viscous incompressible fluid in a bounded three-dimensional (or a two-dimensional) domain with impermeable solid walls. The control parameter is the surface force at a given part of the flow domain boundary. For a given bounded set of admissible controls, we construct generalized (weak) solutions that minimize a given cost functional.

Suggested Citation

  • Evgenii S. Baranovskii & Mikhail A. Artemov, 2016. "Existence of Optimal Control for a Nonlinear-Viscous Fluid Model," International Journal of Differential Equations, Hindawi, vol. 2016, pages 1-6, June.
    • Handle: RePEc:hin:jnijde:9428128
    DOI: 10.1155/2016/9428128
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    Cited by:

    1. Evgenii S. Baranovskii & Olga Yu. Shishkina, 2024. "Generalized Boussinesq System with Energy Dissipation: Existence of Stationary Solutions," Mathematics, MDPI, vol. 12(5), pages 1-15, March.

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