2 papers
math-ph2009
Reduced Lagrangian and Hamiltonian formulations of Euler-Yang-Mills fluids
François Gay-Balmaz, Tudor S. Ratiu
The Lagrangian and Hamiltonian structures for an ideal gauge-charged fluid are determined. Using a Kaluza-Klein point of view, the equations of motion are obtained by Lagrangian an…
math.DG2005
The Lie-Poisson structure of the LAE- equation
François Gay-Balmaz, Tudor S. Ratiu
This paper shows that the time map of the averaged Euler equations, with Dirichlet, Neumann, and mixed boundary conditions is canonical relative to a Lie-Poisson bracket constr…