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Article Dans Une Revue Bulletin de la société mathématique de France Année : 2014

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

Franck Sueur

Résumé

In this paper we prove that the motion of a solid body in a two dimensional incompressible perfect fluid converges, when the body shrinks to a point with fixed mass and circulation, to a variant of the vortex-wave system where the vortex, placed in the point occupied by the shrunk body, is accelerated by a lift force similar to the Kutta-Joukowski force of the irrotational theory.

Dates et versions

hal-00589499 , version 1 (29-04-2011)

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Olivier Glass, Christophe Lacave, Franck Sueur. On the motion of a small body immersed in a two dimensional incompressible perfect fluid. Bulletin de la société mathématique de France, 2014, 142 (3), pp.489-536. ⟨10.24033/bsmf.2672⟩. ⟨hal-00589499⟩
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