Boundary Feedback Control of the 3D Navier-Stokes Equations

Author

Camille Renee Vasquez, The University of Texas Rio Grande Valley

Date of Award

5-2022

Document Type

Thesis

Degree Name

Master of Science (MS)

Department

Mathematics

First Advisor

Dr. Andras Balogh

Second Advisor

Dr. Dambaru Bhatta

Third Advisor

Dr. Josef Sifuentes

Abstract

We present a boundary feedback stabilization of the parabolic steady state profile of the incompressible Navier-Stokes Equations in a three-dimensional channel flow. The decentralized, static boundary feedback control laws are derived using Lyapunov technique. While the theoretical results are limited to stability enhancement for small Reynolds numbers, extensive numerical simulations and visualizations demonstrate the effectiveness of the proposed feedback law even in cases when the uncontrolled flow is turbulent.

Comments

Copyright 2022 Camille Renée Vasquez. All Rights Reserved.

https://go.openathens.net/redirector/utrgv.edu?url=https://www.proquest.com/dissertations-theses/boundary-feedback-control-3d-navier-stokes/docview/2698667973/se-2?accountid=7119

Recommended Citation

Vasquez, Camille Renee, "Boundary Feedback Control of the 3D Navier-Stokes Equations" (2022). Theses and Dissertations. 1110.
https://scholarworks.utrgv.edu/etd/1110