Artículo
On the boundary controllability of incompressible Euler fluids with Boussinesq heat effects
Autor/es | Fernández Cara, Enrique
Cardoso Santos, Mauricio Araujo de Souza, Diego |
Departamento | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Fecha de publicación | 2015-12-30 |
Fecha de depósito | 2024-01-30 |
Publicado en |
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Resumen | This paper deals with the boundary controllability of inviscid incompressible fluids for which thermal effects are important. They will be modeled through the so-called Boussinesq approximation. In the zero heat diffusion ... This paper deals with the boundary controllability of inviscid incompressible fluids for which thermal effects are important. They will be modeled through the so-called Boussinesq approximation. In the zero heat diffusion case, by adapting and extending some ideas from J.-M. Coron and O. Glass, we establish the simultaneous global exact controllability of the velocity field and the temperature for 2D and 3D flows. When the heat diffusion coefficient is positive, we present some additional results concerning exact controllability for the velocity field and local null controllability of the temperature. |
Cita | Fernández Cara, E., Cardoso Santos, M. y Araujo de Souza, D. (2015). On the boundary controllability of incompressible Euler fluids with Boussinesq heat effects. Mathematics of Control, Signals, and Systems, 28 (1), 7-1. https://doi.org/10.1007/s00498-015-0158-x. |
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