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On the controllability of the Navier-Stokes equation in spite of boundary layers

hal.structure.identifierLaboratoire Jacques-Louis Lions [LJLL]
dc.contributor.authorCORON, Jean-Michel
hal.structure.identifierLaboratoire Jacques-Louis Lions [LJLL]
dc.contributor.authorMARBACH, Frédéric
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorSUEUR, Franck
dc.date.accessioned2024-04-04T03:10:07Z
dc.date.available2024-04-04T03:10:07Z
dc.date.conference2016-11-14
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/193662
dc.description.abstractEnIn this note we expose a particular case of a recent result obtained in [Jean-Michel Coron, Frédéric Marbach, Franck Sueur, Small time global exact null controllability of the Navier-Stokes equation with Navier slip-with-friction boundary conditions. Preprint 2016. http://arxiv.org/abs/1612.08087] by the authors regarding the incompressible Navier-Stokes equations in a smooth bounded and simply connected bounded domain, either in 2D or in 3D, with a Navier slip-with-friction boundary condition except on a part of the boundary. This under-determination encodes that one has control over the remaining part of the boundary. We prove that for any initial data, for any positive time, there exists a weak Leray solution which vanishes at this given time.
dc.description.sponsorshipDYnamique des Fluides, Couches Limites, Tourbillons et Interfaces - ANR-13-BS01-0003
dc.description.sponsorshipInteraction Fluide-Structure : Modélisation, analyse, contrôle et simulation - ANR-15-CE40-0010
dc.language.isoen
dc.subject.enControllability
dc.subject.enNavier-Stokes equations
dc.subject.enNavier slip with friction boundary condition
dc.subject.enboundary layers
dc.subject.enreturn method
dc.subject.enwell-prepared dissipation method
dc.title.enOn the controllability of the Navier-Stokes equation in spite of boundary layers
dc.typeCommunication dans un congrès
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
dc.subject.halMathématiques [math]/Optimisation et contrôle [math.OC]
dc.identifier.arxiv1703.07265
dc.description.sponsorshipEuropeControl of partial differential equations and nonlinearity
bordeaux.page162-180
bordeaux.volume2058
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.conference.titleMathematical Analysis of Viscous Incompressible Fluid
bordeaux.countryJP
bordeaux.conference.cityKyoto
bordeaux.peerReviewedoui
hal.identifierhal-01492722
hal.version1
hal.invitedoui
hal.proceedingsoui
hal.conference.end2016-11-16
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01492722v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.volume=2058&rft.spage=162-180&rft.epage=162-180&rft.au=CORON,%20Jean-Michel&MARBACH,%20Fr%C3%A9d%C3%A9ric&SUEUR,%20Franck&rft.genre=unknown


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