Classical solutions for the equations modelling the motion of a ball in a bidimensional incompressible perfect fluid
ESAIM: Modélisation mathématique et analyse numérique, Tome 39 (2005) no. 1, pp. 79-108.

In this paper we investigate the motion of a rigid ball in an incompressible perfect fluid occupying 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
Mots-clés : Euler equations, fluid-rigid body interaction, exterior domain, classical solutions
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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: Modélisation mathématique et analyse numérique, Tome 39 (2005) no. 1, pp. 79-108. doi : 10.1051/m2an:2005002. https://www.numdam.org/articles/10.1051/m2an:2005002/

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