International Journal of Differential Equations

Existence of Optimal Control for a Nonlinear-Viscous Fluid Model

Evgenii S. Baranovskii and Mikhail A. Artemov

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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.

Article information

Source
Int. J. Differ. Equ., Volume 2016 (2016), Article ID 9428128, 6 pages.

Dates
Received: 5 April 2016
Accepted: 5 June 2016
First available in Project Euclid: 21 December 2016

Permanent link to this document
https://projecteuclid.org/euclid.ijde/1482352580

Digital Object Identifier
doi:10.1155/2016/9428128

Mathematical Reviews number (MathSciNet)
MR3520542

Zentralblatt MATH identifier
1352.49004

Citation

Baranovskii, Evgenii S.; Artemov, Mikhail A. Existence of Optimal Control for a Nonlinear-Viscous Fluid Model. Int. J. Differ. Equ. 2016 (2016), Article ID 9428128, 6 pages. doi:10.1155/2016/9428128. https://projecteuclid.org/euclid.ijde/1482352580


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