Reduced Lagrangian and Hamiltonian formulations of Euler-Yang-Mills fluids

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 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.


Published in:
Journal Of Symplectic Geometry, 6, 189-237
Year:
2008
ISSN:
1527-5256
Keywords:
Laboratories:




 Record created 2010-11-30, last modified 2018-01-28

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