Optimal Feedback Control Problem for Bingham Media Motion with Periodic Boundary Conditions
- 作者: Zvyagin V.1, Turbin M.1
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隶属关系:
- Voronezh State University
- 期: 卷 99, 编号 2 (2019)
- 页面: 140-142
- 栏目: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225642
- DOI: https://doi.org/10.1134/S106456241902011X
- ID: 225642
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详细
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.
作者简介
V. Zvyagin
Voronezh State University
编辑信件的主要联系方式.
Email: zvg_vsu@mail.ru
俄罗斯联邦, Voronezh, 394018
M. Turbin
Voronezh State University
编辑信件的主要联系方式.
Email: mrmike@mail.ru
俄罗斯联邦, Voronezh, 394018