Time Optimal Feedback Control for 3D Navier–Stokes-Voigt Equations

In this article, we discuss a time optimal feedback control for asymmetrical 3D Navier–Stokes–Voigt equations. Firstly, we consider the existence of the admissible trajectories for the asymmetrical 3D Navier–Stokes–Voigt equations by using the well-known Cesari property and the Fillippove’s theorem....

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Bibliographic Details
Published in:Symmetry (Basel) 2023-05, Vol.15 (5), p.1127
Main Authors: Li, Yunxiang, Bin, Maojun, Shi, Cuiyun
Format: Article
Language:English
Subjects:
Asymmetry
Banach spaces
Control systems
Control theory
Existence theorems
Feedback control
Fluid flow
Inclusions
Mathematical analysis
Mathematical functions
Navier-Stokes equations
Neighborhoods
Time optimal control
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Summary:In this article, we discuss a time optimal feedback control for asymmetrical 3D Navier–Stokes–Voigt equations. Firstly, we consider the existence of the admissible trajectories for the asymmetrical 3D Navier–Stokes–Voigt equations by using the well-known Cesari property and the Fillippove’s theorem. Secondly, we study the existence result of a time optimal control for the feedback control systems. Lastly, asymmetrical Clarke’s subdifferential inclusions and asymmetrical 3D Navier–Stokes–Voigt differential variational inequalities are given to explain our main results.
ISSN:2073-8994
2073-8994
DOI:10.3390/sym15051127