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

Glass, Olivier; Lacave, Christophe; Sueur, Franck (2016), On the motion of a small light body immersed in a two dimensional incompressible perfect fluid with vorticity, Communications in Mathematical Physics, 341, 3, p. 1015-1065. http://dx.doi.org/10.1007/s00220-015-2489-3

Type
Article accepté pour publication ou publié
External document link
http://arxiv.org/abs/1410.6062v1
Date
2016
Journal name
Communications in Mathematical Physics
Volume
341
Number
3
Publisher
Springer
Pages
1015-1065
Publication identifier
Metadata
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Author(s)
Glass, Olivier

Lacave, Christophe cc

Sueur, Franck
Abstract (EN)
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 particlewith fixed circulation, the “fluid+rigid body” system converges to the vortex-wave system introduced byMarchioro and Pulvirenti in [11]. This extends both the paper [2] where the case of a solid tending to amassive pointwise particle was tackled and the paper [3] where the massless case was considered but in abounded cavity filled with an irrotational fluid.
Subjects / Keywords
rigid body immersed; PDEs; perfect fluid