On the motion of a small light body immersed in a two dimensional incompressible perfect fluid with vorticity
Glass, Olivier; Lacave, Christophe; Sueur, Franck (2016), On the motion of a small light body immersed in a two dimensional incompressible perfect fluid with vorticity, Communications in Mathematical Physics, 341, 3, p. 1015-1065. http://dx.doi.org/10.1007/s00220-015-2489-3
TypeArticle accepté pour publication ou publié
External document linkhttp://arxiv.org/abs/1410.6062v1
Journal nameCommunications in Mathematical Physics
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Abstract (EN)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 particlewith fixed circulation, the “fluid+rigid body” system converges to the vortex-wave system introduced byMarchioro and Pulvirenti in . This extends both the paper  where the case of a solid tending to amassive pointwise particle was tackled and the paper  where the massless case was considered but in abounded cavity filled with an irrotational fluid.
Subjects / Keywordsrigid body immersed; PDEs; perfect fluid
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