Null controllability of a degenerated reaction-diffusion system in cardiac electro-physiology
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | BENDAHMANE, Mostafa | |
| dc.contributor.author | WALLISON CHAVES-SILVA, Felipe | |
| dc.date.accessioned | 2024-04-04T03:22:19Z | |
| dc.date.available | 2024-04-04T03:22:19Z | |
| dc.date.created | 2012 | |
| dc.date.issued | 2012 | |
| dc.identifier.issn | 1631-073X | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/194744 | |
| dc.description.abstractEn | This Note is devoted to the analysis of the null controllability of a nonlinear reaction-diffusion system, approximating a parabolic-elliptic system, modeling electrical activity in the heart. The uniform, with respect to the degenerating parameter, null controllability of the approximating system by a single control force acting on a subdomain is shown. The proof needs a precise estimate with respect to the degenerating parameter and it is done combining Carleman estimates and energy inequalities. | |
| dc.language.iso | en | |
| dc.publisher | Académie des sciences (Paris) | |
| dc.title.en | Null controllability of a degenerated reaction-diffusion system in cardiac electro-physiology | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1016/j.crma.2012.06.006 | |
| dc.subject.hal | Mathématiques [math]/Optimisation et contrôle [math.OC] | |
| bordeaux.journal | Comptes Rendus. Mathématique | |
| bordeaux.page | 587-590 | |
| bordeaux.volume | 350 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 11-12 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-01015821 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01015821v1 | |
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