Analysis and PDE Seminar——Vortex models as limits of the dynamics of solids in a perfect incompressible fluid

Abstract: We consider the motion of several solids in a perfect incompressible fluid, in two dimensions. The solids move according to Newton's law, under the influence of the fluid's pressure.

We assume that the fluid vorticity is initially bounded whereas the circulations around the solids may be non-zero. We recover some point vortex systems by considering the limit where the radius of the solids converge to zero. This extends earlier works to the case of several moving rigid bodies. This is a joint work with Olivier Glass.