Two results on the control of fluids
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Autores: Enrique Fernández Cara
- Localización: FGS 2024 (French-German-Spanish Conference on Optimization) Proceedings: Proceedings / coord. por Rafael Gallego Amez , Mariano José Mateos Alberdi , 2024, ISBN 978-84-10135-30-7, págs. 55-62
- Idioma: español
- Enlaces
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Resumen
This talk is devoted to recall and comment two results recently obtained concerning the control of vis- cous fluids. In general terms, we fix an initial state and we try to find internal or boundary data such that an associated solution vanishes at a prescribed time. Among others, we will consider fluids modeled by coupled systems of the Boussinesq kind. It will be seen that, under some circumstances, the systems are controllable or “quasi-controllable” in an appropriate sense. We will also take a look at some minimal time control problems and will present several theoeretical and numerical results. Also, several open problems will be mentioned
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