Stabilization of 2D Navier-Stokes equations by means of actuators with locally supported vorticity
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866929746421481472 |
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| author | Rodrigues, Sérgio S. Seifu, Dagmawi A. |
| author_facet | Rodrigues, Sérgio S. Seifu, Dagmawi A. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_07006 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Stabilization of 2D Navier-Stokes equations by means of actuators with locally supported vorticity Rodrigues, Sérgio S. Seifu, Dagmawi A. Analysis of PDEs Optimization and Control 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. |
| title | Stabilization of 2D Navier-Stokes equations by means of actuators with locally supported vorticity |
| topic | Analysis of PDEs Optimization and Control |
| url | https://arxiv.org/abs/2309.07006 |