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Optimal control for a two-sidedly degenerate aggregation equation

hal.structure.identifierModélisation et calculs pour l'électrophysiologie cardiaque [CARMEN]
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorBENDAHMANE, Mostafa
hal.structure.identifierEcole Supérieure de Technologie d'Essaouira
dc.contributor.authorKARAMI, Fahd
hal.structure.identifierEcole Supérieure de Technologie d'Essaouira
dc.contributor.authorERRAJI, Elmahdi
hal.structure.identifierEcole Nationale des Sciences Appliquées [Marrakech] [ENSA]
dc.contributor.authorATLAS, Abdelghafour
hal.structure.identifierUniversité Sultan Moulay Slimane [USMS ]
dc.contributor.authorAFRAITES, Abdelkbir
dc.date.accessioned2024-04-04T02:34:03Z
dc.date.available2024-04-04T02:34:03Z
dc.date.issued2023-06-04
dc.identifier.issn1392-5113
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/190526
dc.description.abstractEnIn this paper, we are concerned with the study of the mathematical analysis for an optimal control of a nonlocal degenerate aggregation model. This model describes the aggregation of organisms such as pedestrian movements, chemotaxis, animal swarming. We establish the well-posedness (existence and uniqueness) for the weak solution of the direct problem by means of an auxiliary nondegenerate aggregation equation, the Faedo-Galerkin method (for the existence result) and duality method (for the uniqueness). Moreover, for the adjoint problem, we prove the existence result of minimizers and first order necessary conditions. The main novelty of this work concern the presence of a control to our nonlocal degenerate aggregation model. Our results are complemented with some numerical simulations.
dc.language.isoen
dc.publisherVilnius University Press
dc.subject.enAggregation equation
dc.subject.enNonlocal models
dc.subject.enDegenerate diffusion
dc.subject.enFinite volume
dc.subject.enOptimal control
dc.subject.enAdjoint problem
dc.title.enOptimal control for a two-sidedly degenerate aggregation equation
dc.typeArticle de revue
dc.identifier.doi10.15388/namc.2023.28.32395
dc.subject.halMathématiques [math]/Optimisation et contrôle [math.OC]
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
bordeaux.journalNonlinear Analysis: Modelling and Control
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-04124303
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-04124303v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Nonlinear%20Analysis:%20Modelling%20and%20Control&rft.date=2023-06-04&rft.eissn=1392-5113&rft.issn=1392-5113&rft.au=BENDAHMANE,%20Mostafa&KARAMI,%20Fahd&ERRAJI,%20Elmahdi&ATLAS,%20Abdelghafour&AFRAITES,%20Abdelkbir&rft.genre=article


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