Dynamics of several rigid bodies in a two-dimensional ideal fluid and convergence to vortex systems

We consider the motion of several solids in a bounded cavity filled with a\nperfect incompressible fluid, in two dimensions. The solids move according to\nNewton's law, under the influence of the fluid's pressure, and the fluid\ndynamics is driven by the 2D incompressible Euler equations, which are set on\nthe time-dependent domain corresponding to the cavity deprived of the sets\noccupied by the solids. We assume that the fluid vorticity is initially bounded\nand that the circulations around the solids may be non-zero. The existence of a\nunique corresponding solution, \\`a la Yudovich, to this system, up to a\npossible collision, is known. In this paper we identify the limit dynamics of\nthe system when the…