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

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

2011-04-28

arxiv.org/abs/1104.5404v1

Mathematics

Analysis of PDEs

Scientific paper

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.

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