Classical solutions for the equations modelling the motion of a ball in a bidimensional incompressible perfect fluid

摘要

In this paper we investigate the motion of a rigid ball in an incompressible perfect fluid occupying . We prove the global in time existence and the uniqueness of the classical solution for this fluid-structure problem. The proof relies mainly on weighted estimates for the vorticity associated with the strong solution of a fluid-structure problem obtained by incorporating some dissipation.