Abstract
We consider an optimal feedback control problem for an initial–boundary value problem describing the motion of a nonlinearly viscous fluid. We prove the existence of an optimal solution minimizing a given performance functional. To prove the existence of an optimal solution, we use a topological approximation method for studying hydrodynamic problems.
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Funding
The research by V.G. Zvyagin was supported by the Ministry of Science and Higher Education of the Russian Federation, project no. FZGU-2020-0035, and the Russian Foundation for Basic Research, project no. 20-01-00051. The research by A.V. Zvyagin was supported by the Russian Foundation for Basic Research, project no. 19-31-60014.
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Translated by V. Potapchouck
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Zvyagin, V.G., Zvyagin, A.V. & Nguyen Minh Hong Optimal Feedback Control for a Model of Motion of a Nonlinearly Viscous Fluid. Diff Equat 57, 122–126 (2021). https://doi.org/10.1134/S0012266121010110
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DOI: https://doi.org/10.1134/S0012266121010110