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

Olivier Glass (1) , Franck Sueur (2)

1 CEREMADE - CEntre de REcherches en MAthématiques de la DEcision
2 LJLL - Laboratoire Jacques-Louis Lions

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.

Domaines: Equations aux dérivées partielles [math.AP]

Olivier Glass, Franck Sueur. Low regularity solutions for the two-dimensional ''rigid body + incompressible Euler" system.. Differential and integral equations, 2014, 27 (7-8), pp.625-642. ⟨hal-00682976⟩