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

Abstract : 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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Submitted on : Thursday, October 23, 2014 - 3:28:21 PM
Last modification on : Tuesday, January 18, 2022 - 3:24:08 PM
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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, Springer Verlag, 2015, 341 (3), pp.1015-1065. ⟨10.1007/s00220-015-2489-3⟩. ⟨hal-01076950⟩

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