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Null controllability of a degenerated reaction-diffusion system in cardiac electro-physiology

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorBENDAHMANE, Mostafa
dc.contributor.authorWALLISON CHAVES-SILVA, Felipe
dc.date.accessioned2024-04-04T03:22:19Z
dc.date.available2024-04-04T03:22:19Z
dc.date.created2012
dc.date.issued2012
dc.identifier.issn1631-073X
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/194744
dc.description.abstractEnThis 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.isoen
dc.publisherAcadémie des sciences (Paris)
dc.title.enNull controllability of a degenerated reaction-diffusion system in cardiac electro-physiology
dc.typeArticle de revue
dc.identifier.doi10.1016/j.crma.2012.06.006
dc.subject.halMathématiques [math]/Optimisation et contrôle [math.OC]
bordeaux.journalComptes Rendus. Mathématique
bordeaux.page587-590
bordeaux.volume350
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue11-12
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-01015821
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01015821v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Comptes%20Rendus.%20Math%C3%A9matique&rft.date=2012&rft.volume=350&rft.issue=11-12&rft.spage=587-590&rft.epage=587-590&rft.eissn=1631-073X&rft.issn=1631-073X&rft.au=BENDAHMANE,%20Mostafa&WALLISON%20CHAVES-SILVA,%20Felipe&rft.genre=article


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