Smooth solutions for the motion of a ball in an incompressible perfect fluid

Carole Rosier (1) , Lionel Rosier (2)

1 LMPA - Laboratoire de Mathématiques Pures et Appliquées Joseph Liouville
2 IECN - Institut Élie Cartan de Nancy

In this paper we investigate the motion of a rigid ball surrounded by an incompressible perfect fluid occupying RN. We prove the existence, uniqueness, and persistence of the regularity for the solutions of this fluid-structure interaction problem.

Mots clés: Euler equations; Fluid-rigid body interaction; Exterior domain; Classical solutions

Domaines: Equations aux dérivées partielles [math.AP]; Physique mathématique [math-ph]

Carole Rosier, Lionel Rosier. Smooth solutions for the motion of a ball in an incompressible perfect fluid. Journal of Functional Analysis, 2009, 256 (5), pp.1618-1641. ⟨10.1016/j.jfa.2008.10.024⟩. ⟨hal-00600982⟩