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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2012, Volume 9, Pages 554–560
(Mi semr383)
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This article is cited in 5 scientific papers (total in 5 papers)
Differentical equations, dynamical systems and optimal control
Solvability of the Stationary Optimal Control Problem for Motion Equations of Second Grade Fluids
E. S. Baranovskii Voronezh State Technological Academy
Abstract:
We investigate the optimal Dirichlet boundary control problem for stationary motion equations of second grade fluids. We consider boundary control of the flow on a bounded domain in $\mathbb{R}^n$, $n=2,3$. We show the existence of a weak solution minimizing a given cost functional.
Keywords:
hydrodynamics, non-Newtonian fluids, second grade fluids, optimal control, Dirichlet boundary control.
Received November 7, 2012, published November 30, 2012
Citation:
E. S. Baranovskii, “Solvability of the Stationary Optimal Control Problem for Motion Equations of Second Grade Fluids”, Sib. Èlektron. Mat. Izv., 9 (2012), 554–560
Linking options:
https://www.mathnet.ru/eng/semr383 https://www.mathnet.ru/eng/semr/v9/p554
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Abstract page: | 406 | Full-text PDF : | 175 | References: | 43 |
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