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Stabilization of 2D Navier–Stokes Equations by Means of Actuators with Locally Supported Vorticity.
- Source :
-
Journal of Dynamical & Control Systems . Mar2024, Vol. 30 Issue 1, p1-27. 27p. - Publication Year :
- 2024
-
Abstract
- Exponential stabilization to time-dependent trajectories for the incompressible Navier–Stokes equations is achieved with explicit feedback controls. The fluid is contained in a given two-dimensional spatial domain. An appropriate finite number of actuators is constructed and the control force is, at each time instant, a linear combination of such 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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10792724
- Volume :
- 30
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Dynamical & Control Systems
- Publication Type :
- Academic Journal
- Accession number :
- 175152050
- Full Text :
- https://doi.org/10.1007/s10883-023-09677-7