Bilinear optimal control of the Keller-Segel logistic model in 2D-domains
An optimal control problem associated to the Keller–Segel with logistic reaction system is studied in 2D domains. The control acts in a bilinear form only in the chemical equation. The existence of an optimal control and a necessary optimality system are deduced. The main novelty is that the control...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2023 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:dnet:idus________::36e88c9127acc76e72a824a3235d6cec |
| Acceso en línea: | https://hdl.handle.net/11441/186544 https://doi.org/10.1007/s00245-023-09988-y |
| Access Level: | acceso abierto |
| Palabra clave: | Chemotaxis model Logistic reaction Weak solutions Bilinear optimal control Optimality conditions |
| Sumario: | An optimal control problem associated to the Keller–Segel with logistic reaction system is studied in 2D domains. The control acts in a bilinear form only in the chemical equation. The existence of an optimal control and a necessary optimality system are deduced. The main novelty is that the control can be rather singular and the state (cell density u and the chemical concentration v) remains only in a weak setting, which is not usual in the literature. |
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