## Differential and Integral Equations

### Low regularity solutions for the two-dimensional "rigid body + incompressible Euler" system

#### Abstract

In this note, we consider the motion of a solid body in an incompressible perfect fluid filling the plane. We prove the global existence of solutions in the case where the initial vorticity belongs to $L^p$ with $p\gt 1$ and is compactly supported. We do not assume that the energy is finite.

#### Article information

Source
Differential Integral Equations, Volume 27, Number 7/8 (2014), 625-642.

Dates
First available in Project Euclid: 6 May 2014

Permanent link to this document
https://projecteuclid.org/euclid.die/1399395745

Mathematical Reviews number (MathSciNet)
MR3200756

Zentralblatt MATH identifier
1340.76018

#### Citation

Glass, Olivier; Sueur, Franck. Low regularity solutions for the two-dimensional "rigid body + incompressible Euler" system. Differential Integral Equations 27 (2014), no. 7/8, 625--642. https://projecteuclid.org/euclid.die/1399395745