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

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dc.creatorGay-Balmaz, François
dc.creatorRatiu, Tudor S.
dc.date2009-03-25
dc.date.accessioned2026-07-07T12:56:25Z
dc.date.available2026-07-07T12:56:25Z
dc.descriptionThe 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.
dc.identifierhttps://arxiv.org/abs/0903.4287
dc.identifierhttp://arxiv.org/abs/0903.4287
dc.identifierJournal of Symplectic Geometry, 6 (2) 2008, 189-237
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/224574
dc.subjectMathematical Physics
dc.subjectDifferential Geometry
dc.titleReduced Lagrangian and Hamiltonian formulations of Euler-Yang-Mills fluids
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