Symmetry, Vol. 15, Pages 1127: Time Optimal Feedback Control for 3D Navier–Stokes-Voigt Equations

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Symmetry, Vol. 15, Pages 1127: Time Optimal Feedback Control for 3D Navier–Stokes-Voigt Equations

Symmetry doi: 10.3390/sym15051127

Authors:
Yunxiang Li
Maojun Bin
Cuiyun Shi

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.

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