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arXiv · 1708.06643

On optimal control in a model of rigid-viscoplastic media with Dirichlet boundary conditions

M. A. Artemov·A. V. Skobaneva
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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 pseudo\-monotone operators, a theorem on the solvability of the optimization problem in the class of weak steady solutions is proved.

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M. A. Artemov, A. V. Skobaneva. 2017-08-22. On optimal control in a model of rigid-viscoplastic media with Dirichlet boundary conditions. https://arxiv.org/abs/1708.06643

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