Optimal control for a two-sidedly degenerate aggregation equation
| hal.structure.identifier | Modélisation et calculs pour l'électrophysiologie cardiaque [CARMEN] | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | BENDAHMANE, Mostafa | |
| hal.structure.identifier | Ecole Supérieure de Technologie d'Essaouira | |
| dc.contributor.author | KARAMI, Fahd | |
| hal.structure.identifier | Ecole Supérieure de Technologie d'Essaouira | |
| dc.contributor.author | ERRAJI, Elmahdi | |
| hal.structure.identifier | Ecole Nationale des Sciences Appliquées [Marrakech] [ENSA] | |
| dc.contributor.author | ATLAS, Abdelghafour | |
| hal.structure.identifier | Université Sultan Moulay Slimane [USMS ] | |
| dc.contributor.author | AFRAITES, Abdelkbir | |
| dc.date.accessioned | 2024-04-04T02:34:03Z | |
| dc.date.available | 2024-04-04T02:34:03Z | |
| dc.date.issued | 2023-06-04 | |
| dc.identifier.issn | 1392-5113 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/190526 | |
| dc.description.abstractEn | In 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.iso | en | |
| dc.publisher | Vilnius University Press | |
| dc.subject.en | Aggregation equation | |
| dc.subject.en | Nonlocal models | |
| dc.subject.en | Degenerate diffusion | |
| dc.subject.en | Finite volume | |
| dc.subject.en | Optimal control | |
| dc.subject.en | Adjoint problem | |
| dc.title.en | Optimal control for a two-sidedly degenerate aggregation equation | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.15388/namc.2023.28.32395 | |
| dc.subject.hal | Mathématiques [math]/Optimisation et contrôle [math.OC] | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| bordeaux.journal | Nonlinear Analysis: Modelling and Control | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-04124303 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-04124303v1 | |
| bordeaux.COinS | ctx_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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