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...

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Detalhes bibliográficos
Autores: Braz e Silva, Pablo, Guillén González, Francisco Manuel, Perusato, Cilon, Rodríguez Bellido, María Ángeles
Tipo de documento: artigo
Estado:Versão publicada
Data de publicação:2023
País:España
Recursos:Universidad de Sevilla (US)
Repositório:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:dnet:idus________::36e88c9127acc76e72a824a3235d6cec
Acesso em linha:https://hdl.handle.net/11441/186544
https://doi.org/10.1007/s00245-023-09988-y
Access Level:Acceso aberto
Palavra-chave:Chemotaxis model
Logistic reaction
Weak solutions
Bilinear optimal control
Optimality conditions
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spelling Bilinear optimal control of the Keller-Segel logistic model in 2D-domainsBraz e Silva, PabloGuillén González, Francisco ManuelPerusato, CilonRodríguez Bellido, María ÁngelesChemotaxis modelLogistic reactionWeak solutionsBilinear optimal controlOptimality conditionsAn 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.SpringerEcuaciones Diferenciales y Análisis NuméricoFQM131: Ecuaciones diferenciales, Simulación Num. y Desarrollo Software2023info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfapplication/pdfhttps://hdl.handle.net/11441/186544https://doi.org/10.1007/s00245-023-09988-yreponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésApplied mathematics and optimization, 87 (3), 55-1. 10.1007/s00245-023-09988-yinfo:eu-repo/semantics/openAccessoai:dnet:idus________::36e88c9127acc76e72a824a3235d6cec2026-06-17T12:51:07Z
dc.title.none.fl_str_mv Bilinear optimal control of the Keller-Segel logistic model in 2D-domains
title Bilinear optimal control of the Keller-Segel logistic model in 2D-domains
spellingShingle Bilinear optimal control of the Keller-Segel logistic model in 2D-domains
Braz e Silva, Pablo
Chemotaxis model
Logistic reaction
Weak solutions
Bilinear optimal control
Optimality conditions
title_short Bilinear optimal control of the Keller-Segel logistic model in 2D-domains
title_full Bilinear optimal control of the Keller-Segel logistic model in 2D-domains
title_fullStr Bilinear optimal control of the Keller-Segel logistic model in 2D-domains
title_full_unstemmed Bilinear optimal control of the Keller-Segel logistic model in 2D-domains
title_sort Bilinear optimal control of the Keller-Segel logistic model in 2D-domains
dc.creator.none.fl_str_mv Braz e Silva, Pablo
Guillén González, Francisco Manuel
Perusato, Cilon
Rodríguez Bellido, María Ángeles
author Braz e Silva, Pablo
author_facet Braz e Silva, Pablo
Guillén González, Francisco Manuel
Perusato, Cilon
Rodríguez Bellido, María Ángeles
author_role author
author2 Guillén González, Francisco Manuel
Perusato, Cilon
Rodríguez Bellido, María Ángeles
author2_role author
author
author
dc.contributor.none.fl_str_mv Ecuaciones Diferenciales y Análisis Numérico
FQM131: Ecuaciones diferenciales, Simulación Num. y Desarrollo Software
dc.subject.none.fl_str_mv Chemotaxis model
Logistic reaction
Weak solutions
Bilinear optimal control
Optimality conditions
topic Chemotaxis model
Logistic reaction
Weak solutions
Bilinear optimal control
Optimality conditions
description 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.
publishDate 2023
dc.date.none.fl_str_mv 2023
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/11441/186544
https://doi.org/10.1007/s00245-023-09988-y
url https://hdl.handle.net/11441/186544
https://doi.org/10.1007/s00245-023-09988-y
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Applied mathematics and optimization, 87 (3), 55-1.
10.1007/s00245-023-09988-y
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:idUS. Depósito de Investigación de la Universidad de Sevilla
instname:Universidad de Sevilla (US)
instname_str Universidad de Sevilla (US)
reponame_str idUS. Depósito de Investigación de la Universidad de Sevilla
collection idUS. Depósito de Investigación de la Universidad de Sevilla
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,812429

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