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Article Dans Une Revue Communications in Mathematical Physics Année : 2015

On the motion of a small light body immersed in a two dimensional incompressible perfect fluid with vorticity

Résumé

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.
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Dates et versions

hal-01076950 , version 1 (23-10-2014)

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Olivier Glass, Christophe Lacave, Franck Sueur. On the motion of a small light body immersed in a two dimensional incompressible perfect fluid with vorticity. Communications in Mathematical Physics, 2015, 341 (3), pp.1015-1065. ⟨10.1007/s00220-015-2489-3⟩. ⟨hal-01076950⟩
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