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arXiv · 2402.06269

On the control of some coupled systems of the Boussinesq kind with few controls

Enrique Fernández-Cara·Diego A. Souza
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Abstract

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 $\theta$ 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 $\theta$ and $c$.

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Enrique Fernández-Cara, Diego A. Souza. 2024-02-09. On the control of some coupled systems of the Boussinesq kind with few controls. https://doi.org/10.3934/mcrf.2012.2.121

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