Low regularity solutions for the two-dimensional "rigid body + incompressible Euler" system
Analysis of PDEs
2024-12-30 v1
Abstract
In this note we consider the motion of a solid body in a two dimensional incompressible perfect fluid. We prove the global existence of solutions in the case where the initial vorticity belongs to with and is compactly supported. We do not assume that the energy is finite.
Cite
@article{arxiv.1203.5988,
title = {Low regularity solutions for the two-dimensional "rigid body + incompressible Euler" system},
author = {Olivier Glass and Franck Sueur},
journal= {arXiv preprint arXiv:1203.5988},
year = {2024}
}