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Stabilization of 2D Navier-Stokes equations by means of actuators with locally supported vorticity
- Publication Year :
- 2023
-
Abstract
- Exponential stabilization to time-dependent trajectories for the incompressible Navier-Stokes equations is achieved with explicit feedback controls. The fluid is contained in two-dimensional spatial domains and the control force is, at each time instant, a linear combination of a finite number of given actuators. Each actuator has its vorticity supported in a small subdomain. The velocity field is subject to Lions boundary conditions. Simulations are presented showing the stabilizing performance of the proposed feedback. The results also apply to a class of observer design problems.<br />Comment: 9 figures
- Subjects :
- Mathematics - Analysis of PDEs
Mathematics - Optimization and Control
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2309.07006
- Document Type :
- Working Paper