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Time Optimal Feedback Control for 3D Navier–Stokes-Voigt Equations
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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.
Title: Time Optimal Feedback Control for 3D Navier–Stokes-Voigt Equations
Description:
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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