First- and second-order optimality conditions for the control of infinite horizon Navier-Stokes equations
First and second-order optimality conditions for optimal control problems over the infinite time horizon subject to the Navier-Stokes equations are derived. The cost functional enhances temporal sparsity of the controls, which implies that the optimal controls shut down in finite time. The problem f...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2024 |
| País: | España |
| Institución: | Universidad de Cantabria (UC) |
| Repositorio: | UCrea Repositorio Abierto de la Universidad de Cantabria |
| Idioma: | inglés |
| OAI Identifier: | oai:repositorio.unican.es:10902/38376 |
| Acceso en línea: | https://hdl.handle.net/10902/38376 |
| Access Level: | acceso abierto |
| Palabra clave: | In nite horizon optimal control Navier Stokes equations Second order optimality conditions Sparsity promoting cost functional Nonsmooth optimization Euclidean norm constraints |
| Sumario: | First and second-order optimality conditions for optimal control problems over the infinite time horizon subject to the Navier-Stokes equations are derived. The cost functional enhances temporal sparsity of the controls, which implies that the optimal controls shut down in finite time. The problem formulation also includes explicit constraints on the control which may be non-smooth and non-affine. |
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