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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2017, Volume 14, Pages 1463–1471
DOI: https://doi.org/10.17377/semi.2017.14.126 (Mi semr885) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Differentical equations, dynamical systems and optimal control

On optimal control in a model of rigidviscoplastic media with Dirichlet boundary conditions

M. A. Artemov, A. V. Skobaneva

Voronezh State University, Universitetskaya pl., 1, 394006, Voronezh, Russia
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DOI: https://doi.org/10.17377/semi.2017.14.126
Abstract: In this paper, we consider the optimal control problem in a 3D flow model for incompressible rigid-viscoplastic media of the Bingham kind with homogeneous Dirichlet boundary conditions and a given cost functional. On the basis of methods of the theory of variational inequalities with pseudomonotone operators, a theorem on the solvability of the optimization problem in the class of weak steady solutions is proved.
Keywords: viscoplastic Bingham-type fluid, 3D flows, optimal control problem, variational inequalities.
Received August 22, 2017, published December 15, 2017
Bibliographic databases:
Document Type: Article
UDC: 517.958
MSC: 49J20, 76A05
Language: Russian
Citation: M. A. Artemov, A. V. Skobaneva, “On optimal control in a model of rigidviscoplastic media with Dirichlet boundary conditions”, Sib. Èlektron. Mat. Izv., 14 (2017), 1463–1471
Citation in format AMSBIB
\Bibitem{ArtSko17}
\by M.~A.~Artemov, A.~V.~Skobaneva
\paper On optimal control in a model of rigidviscoplastic
media with Dirichlet boundary conditions
\jour Sib. \`Elektron. Mat. Izv.
\yr 2017
\vol 14
\pages 1463--1471
\mathnet{http://mi.mathnet.ru/semr885}
\crossref{https://doi.org/10.17377/semi.2017.14.126}
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