title: Algebraic construction of a Nambu bracket for the two-dimensional vorticity equation.
abstract: 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.
authors: Faculty of Mathematics, University of Vienna, Nordbergstraße 15, 1090 Vienna, Austria.
authors: M
authors: M
authors: Sommer
authors: K
authors: K
authors: Brazda
authors: M
authors: M
authors: Hantel