External boundary control of the motion of a rigid body immersed in a perfect two-dimensional fluid
| hal.structure.identifier | CEntre de REcherches en MAthématiques de la DEcision [CEREMADE] | |
| dc.contributor.author | GLASS, Olivier | |
| hal.structure.identifier | CEntre de REcherches en MAthématiques de la DEcision [CEREMADE] | |
| hal.structure.identifier | Leipzig University / Universität Leipzig | |
| dc.contributor.author | KOLUMBÁN, József | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | SUEUR, Franck | |
| dc.date.accessioned | 2024-04-04T03:01:07Z | |
| dc.date.available | 2024-04-04T03:01:07Z | |
| dc.date.issued | 2020-04-15 | |
| dc.identifier.issn | 2157-5045 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/192873 | |
| dc.description.abstractEn | We consider the motion of a rigid body due to the pressure of a surrounded two-dimensional irrotational perfect incompressible fluid, the whole system being confined in a bounded domain with an impermeable condition on a part of the external boundary. Thanks to an impulsive control strategy we prove that there exists an appropriate boundary condition on the remaining part of the external boundary (allowing some fluid going in and out the domain) such that the immersed rigid body is driven from some given initial position and velocity to some final position and velocity in a given positive time, without touching the external boundary. The controlled part of the external boundary is assumed to have a nonvoid interior and the final position is assumed to be in the same connected component of the set of possible positions as the initial position. | |
| dc.description.sponsorship | Interaction Fluide-Structure : Modélisation, analyse, contrôle et simulation - ANR-15-CE40-0010 | |
| dc.description.sponsorship | DYnamique des Fluides, Couches Limites, Tourbillons et Interfaces - ANR-13-BS01-0003 | |
| dc.description.sponsorship | Bords, oscillations et couches limites dans les systèmes différentiels - ANR-16-CE40-0027 | |
| dc.description.sponsorship | Ecoulements avec singularités : couches limites, filaments de vortex, interaction vague-structure - ANR-18-CE40-0027 | |
| dc.language.iso | en | |
| dc.publisher | Mathematical Sciences Publishers | |
| dc.subject.en | external boundary control | |
| dc.subject.en | Euler equation | |
| dc.subject.en | control problem | |
| dc.subject.en | Fluid-solid interaction | |
| dc.subject.en | impulsive control | |
| dc.subject.en | geodesics | |
| dc.subject.en | coupled ODE- PDE system | |
| dc.subject.en | fluid mechanics | |
| dc.title.en | External boundary control of the motion of a rigid body immersed in a perfect two-dimensional fluid | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.2140/apde.2020.13.651 | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| dc.identifier.arxiv | 1707.05093 | |
| bordeaux.journal | Analysis & PDE | |
| bordeaux.page | 651–684 | |
| bordeaux.volume | 13 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 3 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-01562320 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01562320v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Analysis%20&%20PDE&rft.date=2020-04-15&rft.volume=13&rft.issue=3&rft.spage=651%E2%80%93684&rft.epage=651%E2%80%93684&rft.eissn=2157-5045&rft.issn=2157-5045&rft.au=GLASS,%20Olivier&KOLUMB%C3%81N,%20J%C3%B3zsef&SUEUR,%20Franck&rft.genre=article |
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