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

Published online by Cambridge University Press:  15 March 2005

Jaime H. Ortega ,
Lionel Rosier  and
Takéo Takahashi
Jaime H. Ortega
Affiliation:
Universidad de Chile, Facultad de Ciencias Físicas y Matemáticas, Centro de Modelamiento Matemático, UMI 2807 CNRS-UChile, Casilla 170/3, Correo 3, Santiago, Chile and Universidad del Bío-Bío, Facultad de Ciencias, Departamento de Ciencias Básicas, Casilla 447, Campus Fernando May, Chillán, Chile. [email protected]
Lionel Rosier
Affiliation:
Institut Elie Cartan, Université Henri Poincaré Nancy 1, BP 239, 54506 Vandœuvre-lès-Nancy Cedex, France. [email protected]; [email protected]
Takéo Takahashi
Affiliation:
Institut Elie Cartan, Université Henri Poincaré Nancy 1, BP 239, 54506 Vandœuvre-lès-Nancy Cedex, France. [email protected]; [email protected]
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Abstract

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.

Keywords

Euler equationsfluid-rigid body interactionexterior domainclassical solutions.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 39 , Issue 1 , January 2005 , pp. 79 - 108
Copyright
© EDP Sciences, SMAI, 2005

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