Gay-Balmaz, FrancoisRatiu, Tudor S.2010-11-302010-11-302010-11-302008https://infoscience.epfl.ch/handle/20.500.14299/61053WOS:000259072400004The 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 and Poisson reductions associated to the automorphism group of a principal bundle. As a consequence of the Lagrangian approach, a Kelvin-Noether theorem is obtained. The Hamiltonian formulation determines a non-canonical Poisson bracket associated to these equations.Semidirect ProductsGauge FieldEquationstext::journal::journal article::research article