Geodesic
On optimal control in a model of rigidviscoplastic
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 14 (2017), pp. 1463-1471

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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. 
@article{SEMR_2017_14_a102,
     author = {M. A. Artemov and A. V. Skobaneva},
     title = {On optimal control in a model of rigidviscoplastic},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {1463--1471},
     publisher = {mathdoc},
     volume = {14},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2017_14_a102/}
}
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M. A. Artemov; A. V. Skobaneva. On optimal control in a model of rigidviscoplastic. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 14 (2017), pp. 1463-1471. http://geodesic.mathdoc.fr/item/SEMR_2017_14_a102/