On the motion of a rigid body immersed in a bidimensional incompressible perfect fluid

摘要

We consider the motion of a rigid body immersed in a bidimensional incompressible perfect fluid. The motion of the fluid is governed by the Euler equations and the conservation laws of linear and angular momentum rule the dynamics of the rigid body. We prove the existence and uniqueness of a global classical solution for this fluid-structure interaction problem. The proof relies mainly on weighted estimates for the vorticity associated with the strong solution of a fluid-structure interaction problem obtained by incorporating some viscosity. (C) 2006 Elsevier Masson SAS. All rights reserved.