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conference paper
Affine Lie-Poisson reduction, Yang-Mills magnetohydrodynamics, and superfluids
2008
Journal Of Physics A-Mathematical And Theoretical
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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GBRa2008_afine_LP_YM_MHD_superfluids_ev.pdf
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openaccess
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