GLASS, Olivier; LACAVE, Christophe; SUEUR, Franck

doi:10.1007/s00220-015-2489-3

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GLASS, Olivier
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]

LACAVE, Christophe
Institut de Mathématiques de Jussieu [IMJ]

SUEUR, Franck
Institut de Mathématiques de Bordeaux [IMB]

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Ce document a été publié dans

Communications in Mathematical Physics. 2015, vol. 341, n° 3, p. 1015–1065

Springer Verlag

Résumé en anglais

In this paper we consider the motion of a rigid body immersed in a two dimensional unbounded incom-pressible perfect fluid with vorticity. We prove that when the body shrinks to a massless pointwise particle with fixed circulation, the "fluid+rigid body" system converges to the vortex-wave system introduced by Marchioro and Pulvirenti in [11]. This extends both the paper [2] where the case of a solid tending to a massive pointwise particle was tackled and the paper [3] where the massless case was considered but in a bounded cavity filled with an irrotational fluid.< Réduire