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

作者：Li, Yunxiang; Bin, Maojun; Shi, Cuiyun^*

来源：2023, 15(5): 1127.

DOI：10.3390/sym15051127

• 3D Navier-Stokes-Voigt equations
• admissible trajectories set
• admissible control set
• feedback control
• time optimal control

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.

• 单位
  桂林理工大学; 玉林师范学院