On the control of some coupled systems of the Boussinesq kind with few controls
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866917585823465472 |
|---|---|
| author | Fernández-Cara, Enrique Souza, Diego A. |
| author_facet | Fernández-Cara, Enrique Souza, Diego A. |
| contents | This paper is devoted to prove the local exact controllability to the trajectories for a coupled system, of the Boussinesq kind, with a reduced number of controls. In the state system, the unknowns are the velocity field and pressure of the fluid $(y, p)$, the temperature $θ$ and an additional variable $c$ that can be viewed as the concentration of a contaminant solute. We prove several results, that essentially show that it is sufficient to act locally in space on the equations satisfied by $θ$ and $c$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_06269 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the control of some coupled systems of the Boussinesq kind with few controls Fernández-Cara, Enrique Souza, Diego A. Optimization and Control 35B37, 93B05, 35Q35 This paper is devoted to prove the local exact controllability to the trajectories for a coupled system, of the Boussinesq kind, with a reduced number of controls. In the state system, the unknowns are the velocity field and pressure of the fluid $(y, p)$, the temperature $θ$ and an additional variable $c$ that can be viewed as the concentration of a contaminant solute. We prove several results, that essentially show that it is sufficient to act locally in space on the equations satisfied by $θ$ and $c$. |
| title | On the control of some coupled systems of the Boussinesq kind with few controls |
| topic | Optimization and Control 35B37, 93B05, 35Q35 |
| url | https://arxiv.org/abs/2402.06269 |