Existence of Optimal Control for a Nonlinear-Viscous Fluid Model

Evgenii S. Baranovskii and Mikhail A. Artemov

International Journal of Differential Equations, 2016, vol. 2016, 1-6

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.

Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijde:9428128

DOI: 10.1155/2016/9428128

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