Classical solutions for the equations modelling the motion of a ball in a bidimensional incompressible perfect fluid
ESAIM: Mathematical Modelling and Numerical Analysis - 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 ${ℝ}^{2}$. 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 : https://doi.org/10.1051/m2an:2005002
Classification : 35Q35,  76B03,  76B99
Mots clés : Euler equations, fluid-rigid body interaction, exterior domain, classical solutions
@article{M2AN_2005__39_1_79_0,
author = {Ortega, Jaime H. and Rosier, Lionel and Takahashi, Tak\'eo},
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 - Mod\'elisation Math\'ematique et Analyse Num\'erique},
pages = {79--108},
publisher = {EDP-Sciences},
volume = {39},
number = {1},
year = {2005},
doi = {10.1051/m2an:2005002},
zbl = {1087.35081},
mrnumber = {2136201},
language = {en},
url = {http://www.numdam.org/articles/10.1051/m2an:2005002/}
}
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 - Modélisation Mathématique et Analyse Numérique, Tome 39 (2005) no. 1, pp. 79-108. doi : 10.1051/m2an:2005002. http://www.numdam.org/articles/10.1051/m2an:2005002/

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