Algebraic construction of a Nambu bracket for the two-dimensional vorticity equation

Details Algebraic construction of a Nambu bracket for the two-dimensional vorticity equation Algebraic construction of a Nambu bracket for the two-dimensional vorticity equation

2011-02-07

arxiv.org/abs/1102.1298v3

Physics

Mathematical Physics

Scientific paper

So far fluid mechanical Nambu brackets have mainly been given on an intuitive basis. Alternatively an algorithmic construction of such a bracket for the two-dimensional vorticity equation is presented here. Starting from the Lie--Poisson form and its algebraic properties it is shown how the Nambu representation can be explicitly constructed as the continuum limit from the structure preserving Zeitlin discretization.

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