English

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

Optimization and Control 2017-08-23 v1

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.

Keywords

Cite

@article{arxiv.1708.06643,
  title  = {On optimal control in a model of rigid-viscoplastic media with Dirichlet boundary conditions},
  author = {M. A. Artemov and A. V. Skobaneva},
  journal= {arXiv preprint arXiv:1708.06643},
  year   = {2017}
}

Comments

9 pages, in Russian