Boundary controllability of incompressible Euler fluids with Boussinesq heat effects
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866911774809260032 |
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| author | Fernández-Cara, Enrique Santos, Maurício C. Souza, Diego A. |
| author_facet | Fernández-Cara, Enrique Santos, Maurício C. Souza, Diego A. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_06709 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Boundary controllability of incompressible Euler fluids with Boussinesq heat effects Fernández-Cara, Enrique Santos, Maurício C. Souza, Diego A. Optimization and Control 93B05, 35Q30, 76C99, 93C20 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. |
| title | Boundary controllability of incompressible Euler fluids with Boussinesq heat effects |
| topic | Optimization and Control 93B05, 35Q30, 76C99, 93C20 |
| url | https://arxiv.org/abs/2402.06709 |