Affine Lie-Poisson Reduction, Yang-Mills magnetohydrodynamics, and superfluids

Details Affine Lie-Poisson Reduction, Yang-Mills magnetohydrodynamics, and superfluids Affine Lie-Poisson Reduction, Yang-Mills magnetohydrodynamics, and superfluids

2009-03-25

arxiv.org/abs/0903.4292v1

Physics

Mathematical Physics

Scientific paper

This paper develops the theory of affine Lie-Poisson reduction and applies
this process to Yang-Mills and Hall magnetohydrodynamics for fluids and
superfluids. As a consequence of this approach, the associated Poisson brackets
are obtained by reduction of a canonical cotangent bundle. A Kelvin-Noether
circulation theorem is presented and is applied to these examples.

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