# Motion of a particle immersed in a two dimensional incompressible perfect fluid and point vortex dynamics

## TL;DR

This paper explores how the motion of a particle in a 2D incompressible perfect fluid can be modeled as the zero-radius limit of a rigid body's motion, connecting fluid dynamics with point vortex theory.

## Contribution

It establishes the rigorous connection between rigid body motion in a fluid and point vortex dynamics as the body's radius approaches zero.

## Key findings

- Point vortex dynamics as zero-radius limit of rigid body motion
- Analysis across multiple inertia regimes
- Bridging fluid-structure interaction with vortex models

## Abstract

In these notes, we expose some recent works by the author in collaboration with Olivier Glass, Christophe Lacave and Alexandre Munnier, establishing point vortex dynamics as zero-radius limits of motions of a rigid body immersed in a two dimensional incompressible perfect fluid in several inertia regimes.