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arXiv · 0903.4287

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

François Gay-Balmaz·Tudor S. Ratiu
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Abstract

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.

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François Gay-Balmaz, Tudor S. Ratiu. 2009-03-25. Reduced Lagrangian and Hamiltonian formulations of Euler-Yang-Mills fluids. https://arxiv.org/abs/0903.4287

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