On the controllability of the Navier-Stokes equation in spite of boundary layers
hal.structure.identifier | Laboratoire Jacques-Louis Lions [LJLL] | |
dc.contributor.author | CORON, Jean-Michel | |
hal.structure.identifier | Laboratoire Jacques-Louis Lions [LJLL] | |
dc.contributor.author | MARBACH, Frédéric | |
hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
dc.contributor.author | SUEUR, Franck | |
dc.date.accessioned | 2024-04-04T03:10:07Z | |
dc.date.available | 2024-04-04T03:10:07Z | |
dc.date.conference | 2016-11-14 | |
dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/193662 | |
dc.description.abstractEn | In 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.sponsorship | DYnamique des Fluides, Couches Limites, Tourbillons et Interfaces - ANR-13-BS01-0003 | |
dc.description.sponsorship | Interaction Fluide-Structure : Modélisation, analyse, contrôle et simulation - ANR-15-CE40-0010 | |
dc.language.iso | en | |
dc.subject.en | Controllability | |
dc.subject.en | Navier-Stokes equations | |
dc.subject.en | Navier slip with friction boundary condition | |
dc.subject.en | boundary layers | |
dc.subject.en | return method | |
dc.subject.en | well-prepared dissipation method | |
dc.title.en | On the controllability of the Navier-Stokes equation in spite of boundary layers | |
dc.type | Communication dans un congrès | |
dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
dc.subject.hal | Mathématiques [math]/Optimisation et contrôle [math.OC] | |
dc.identifier.arxiv | 1703.07265 | |
dc.description.sponsorshipEurope | Control of partial differential equations and nonlinearity | |
bordeaux.page | 162-180 | |
bordeaux.volume | 2058 | |
bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
bordeaux.institution | Université de Bordeaux | |
bordeaux.institution | Bordeaux INP | |
bordeaux.institution | CNRS | |
bordeaux.conference.title | Mathematical Analysis of Viscous Incompressible Fluid | |
bordeaux.country | JP | |
bordeaux.conference.city | Kyoto | |
bordeaux.peerReviewed | oui | |
hal.identifier | hal-01492722 | |
hal.version | 1 | |
hal.invited | oui | |
hal.proceedings | oui | |
hal.conference.end | 2016-11-16 | |
hal.popular | non | |
hal.audience | Internationale | |
hal.origin.link | https://hal.archives-ouvertes.fr//hal-01492722v1 | |
bordeaux.COinS | ctx_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 |
Fichier(s) constituant ce document
Fichiers | Taille | Format | Vue |
---|---|---|---|
Il n'y a pas de fichiers associés à ce document. |