Reduced Lagrangian and Hamiltonian formulations of Euler-Yang-Mills fluids
Gay-Balmaz, Francois ; Ratiu, Tudor S.
J. Symplectic Geom., Tome 6 (2008) no. 2, p. 189-237 / Harvested from Project Euclid
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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.
Publié le : 2008-06-15
Classification:  
@article{1219866512,
     author = {Gay-Balmaz, Francois and Ratiu, Tudor S.},
     title = {Reduced Lagrangian and Hamiltonian formulations of Euler-Yang-Mills fluids},
     journal = {J. Symplectic Geom.},
     volume = {6},
     number = {2},
     year = {2008},
     pages = { 189-237},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1219866512}
}

Gay-Balmaz, Francois; Ratiu, Tudor S. Reduced Lagrangian and Hamiltonian formulations of Euler-Yang-Mills fluids. J. Symplectic Geom., Tome 6 (2008) no. 2, pp.  189-237. http://gdmltest.u-ga.fr/item/1219866512/