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fluid-rigid body interaction

ESAIM: Mathematical Modelling and Numerical Analysis (1)

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Classical solutions for the equations modelling the motion of a ball in a bidimensional incompressible perfect fluid
Jaime H. Ortega, Lionel Rosier, Takéo Takahashi
Journal:

ESAIM: Mathematical Modelling and Numerical Analysis / Volume 39 / Issue 1 / January 2005

Published online by Cambridge University Press:

15 March 2005, pp. 79-108

Print publication:

January 2005
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In this paper we investigate the motion of a rigid ball in an incompressible perfect fluid occupying ${\mathbb R}^2$. 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.