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

Ortega, Jaime H.; Rosier, Lionel; Takahashi, Takéo

ESAIM: Modélisation mathématique et analyse numérique, Volume 39 (2005) no. 1, pp. 79-108

In this paper we investigate the motion of a rigid ball in an incompressible perfect fluid occupying ${ℝ}^2$. 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.

Classification: 35Q35, 76B03, 76B99
Keywords: Euler equations, fluid-rigid body interaction, exterior domain, classical solutions

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