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hal.structure.identifierCEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
dc.contributor.authorGlass, Olivier
hal.structure.identifierInstitut Fourier [IF ]
dc.contributor.authorLacave, Christophe
HAL ID: 17838
ORCID: 0000-0002-2488-4117
hal.structure.identifierInstitut Élie Cartan de Lorraine [IECL]
dc.contributor.authorMunnier, Alexandre
HAL ID: 7734
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorSueur, Franck
HAL ID: 177864
dc.date.accessioned2020-01-06T13:07:44Z
dc.date.available2020-01-06T13:07:44Z
dc.date.issued2019
dc.identifier.issn0022-0396
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/20376
dc.language.isoenen
dc.subjectrigid bodiesen
dc.subjectEuler equationsen
dc.subject.ddc515en
dc.titleDynamics of rigid bodies in a two dimensional incompressible perfect fluiden
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenWe consider the motion of several rigid bodies immersed in a two-dimensional incompressible perfect fluid, the whole system being bounded by an external impermeable fixed boundary. The fluid motion is described by the incompressible Euler equations and the motion of the rigid bodies is given by Newton's laws with forces due to the fluid pressure. We prove that, for smooth solutions, Newton's equations can be recast as a second-order ODE for the degrees of freedom of the rigid bodies with coefficients depending on the fluid vorticity and on the circulations around the bodies, but not anymore on the fluid pressure. This reformulation highlights geodesic aspects linked to the added mass effect, gyroscopic features generalizing the Kutta-Joukowski-type lift force, including body-body interactions through the potential flows induced by the bodies' motions, body-body interactions through the irrotational flows induced by the bodies' circulations, and interactions between the bodies and the fluid vorticity.en
dc.relation.isversionofjnlnameJournal of Differential Equations
dc.relation.isversionofjnlvol267en
dc.relation.isversionofjnlissue6en
dc.relation.isversionofjnldate2019-09
dc.relation.isversionofjnlpages3561-3577en
dc.relation.isversionofdoi10.1016/j.jde.2019.04.017en
dc.relation.isversionofjnlpublisherElsevieren
dc.subject.ddclabelAnalyseen
dc.relation.forthcomingnonen
dc.relation.forthcomingprintnonen
dc.description.ssrncandidatenonen
dc.description.halcandidatenonen
dc.description.readershiprechercheen
dc.description.audienceInternationalen
dc.relation.Isversionofjnlpeerreviewedouien
dc.relation.Isversionofjnlpeerreviewedouien
dc.date.updated2020-01-06T13:03:25Z
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