Geodesic
Classical solutions for the equations modelling the motion of a ball in a bidimensional incompressible perfect fluid
ESAIM: Mathematical Modelling and Numerical Analysis , Tome 39 (2005) no. 1, pp. 79-108

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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.

DOI : 10.1051/m2an:2005002
Classification : 35Q35, 76B03, 76B99
Keywords: Euler equations, fluid-rigid body interaction, exterior domain, classical solutions 
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     title = {Classical solutions for the equations modelling the motion of a ball in a bidimensional incompressible perfect fluid},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
     pages = {79--108},
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Ortega, Jaime H.; Rosier, Lionel; Takahashi, Takéo. Classical solutions for the equations modelling the motion of a ball in a bidimensional incompressible perfect fluid. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 39 (2005) no. 1, pp. 79-108. doi: 10.1051/m2an:2005002

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