%0 Journal Article
%D 2015
%T Dispersive deformations of the Hamiltonian structure of Euler's equations
%A Matteo Casati
%X Euler's equations for a two-dimensional system can be written in Hamiltonian form, where the Poisson bracket is the Lie-Poisson bracket associated to the Lie algebra of divergence free vector fields. We show how to derive the Poisson brackets of 2d hydrodynamics of ideal fluids as a reduction from the one associated to the full algebra of vector fields. Motivated by some recent results about the deformations of Lie-Poisson brackets of vector fields, we study the dispersive deformations of the Poisson brackets of Euler's equation and show that, up to the second order, they are trivial.
%G en
%1 34700
%2 Mathematics
%4 1
%# MAT/07
%$ Submitted by Matteo Casati (mcasati@sissa.it) on 2015-09-09T13:27:08Z
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