Differential and Integral Equations
- Differential Integral Equations
- Volume 27, Number 7/8 (2014), 625-642.
Low regularity solutions for the two-dimensional "rigid body + incompressible Euler" system
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.
Differential Integral Equations, Volume 27, Number 7/8 (2014), 625-642.
First available in Project Euclid: 6 May 2014
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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