Optimal bilinear control problem related to a chemo-repulsion system in 2D domains
In this paper, we study a bilinear optimal control problem associated to a chemo-repulsion model with linear production term in a bidimensional domain. The existence, uniqueness and regularity of strong solutions of this model are deduced, proving the existence of a global optimal solution. Afterwar...
| Autores: | , , |
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| Formato: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2020 |
| País: | España |
| Recursos: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/96215 |
| Acesso em linha: | https://hdl.handle.net/11441/96215 https://doi.org/10.1051/cocv/2019012 |
| Access Level: | acceso abierto |
| Palavra-chave: | Chemorepulsion-production model Strong solutions Bilinear control Optimality conditions |
| Resumo: | In this paper, we study a bilinear optimal control problem associated to a chemo-repulsion model with linear production term in a bidimensional domain. The existence, uniqueness and regularity of strong solutions of this model are deduced, proving the existence of a global optimal solution. Afterwards, we derive first-order optimality conditions by using a Lagrange multipliers theorem. |
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