Email this article Optimal feedback control problem for Bingham media motion with periodic boundary conditions
- Authors: Zvyagin V.G.1, Turbin M.V.1
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Affiliations:
- Voronezh State University
- Issue: Vol 485, No 2 (2019)
- Pages: 139-141
- Section: Mathematics
- URL: https://journals.eco-vector.com/0869-5652/article/view/12817
- DOI: https://doi.org/10.31857/S0869-56524852139-141
- ID: 12817
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Abstract
We study the optimal feedback control problem for the motion of Bingham media with periodic boundary conditions in two- and three-dimensional cases. First, the considered problem is interpreted as an operator inclusion with a multivalued right-hand side. Then, the approximation-topological approach to hydrodynamic problems and the degree theory for a class of multivalued maps are used to prove the existence of solutions of this inclusion. Finally, we prove that, among the solutions of the considered problem, there exists one minimizing the given cost functional.
About the authors
V. G. Zvyagin
Voronezh State University
Author for correspondence.
Email: mrmike@mail.ru
Russian Federation, Voronezh
M. V. Turbin
Voronezh State University
Email: mrmike@mail.ru
Russian Federation, Voronezh
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