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arxiv: 1104.5404 · v1 · pith:LXLWPA7Fnew · submitted 2011-04-28 · 🧮 math.AP

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

classification 🧮 math.AP
keywords bodydimensionalfluidforceincompressiblemotionperfectpoint
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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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