On the kinetic incompressible Euler equation and some of its avatars.
1 : Centre de Mathématiques Laurent Schwartz 
                                (CMLS)
                            
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Polytechnique - X, Centre National de la Recherche Scientifique : UMR7640
Ecole Polytechnique 91128 Palaiseau - 
                               France
We will review some aspects of the so-called kinetic incompressible Euler equation and explain how it relates to two other classical models from fluid mechanics: the incompressible Euler equations with several phases and the hydrostatic Euler equations. In particular we will give an application to the Cauchy theory for the hydrostatic Euler equations.

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