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

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

2012-03-27

arxiv.org/abs/1203.5988v1

Mathematics

Analysis of PDEs

Scientific paper

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 $L^p$ with $p>1$ and is compactly
supported. We do not assume that the energy is finite.

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