Reduced Lagrangian and Hamiltonian Formulations of Euler–yang–mills Fluids
نویسندگان
چکیده
The Lagrangian and Hamiltonian structures for an ideal gaugecharged 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.
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