Nambu-brackets in fluid mechanics and magnetohydrodynamics

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL 43, 305501 (2010)

ABSTRACT

Concrete examples of the construction of Nambu brackets for equations of motion (both 3D and 2D) of Boussinesq stratified fluids and also for magnetohydrodynamical equations are given. It serves a generalization of Hamiltonian formulation for the considered equations of motion. Two alternative Nambu formulations are proposed, first by using fluid dynamical (kinetic) helicity and/or enstrophy as constitutive elements and second, by using the existing conservation laws of the governing equation.

DOI: http://dx.doi.org/ doi:10.1088/1751-8113/43/30/305501



Categories: Publications