Time Optimal Feedback Control for 3D Navier–Stokes-Voigt Equations-Reference-Cited by-同舟云学术

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

Published:2023-05-22 Issue:5 Volume:15 Page:1127
ISSN:2073-8994
Container-title:Symmetry
language:en
Short-container-title:Symmetry

Author:

Li Yunxiang¹²,Bin Maojun¹^ORCID,Shi Cuiyun³

Affiliation:

1. Guangxi Colleges and Universities Key Laboratory of Complex System Optimization and Big Data Processing, Yulin Normal University, Yulin 537000, China

2. College of Science, Hunan City University, Yiyang 413000, China

3. School of Basic Science, Guilin University of Technology at Nanning, Nanning 530001, China

Abstract

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.

Funder

NSF of Guangxi

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2073-8994/15/5/1127/pdf

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