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

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.


Published in:
Journal Of Physics A-Mathematical And Theoretical, 41, 344007
Presented at:
Meeting held in Honor of Darryl D Holms on Geometry and Analysis in Physical Systems, Lausanne, SWITZERLAND, Jul 22-28, 2007
Year:
2008
Keywords:
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 Record created 2010-11-30, last modified 2018-01-28

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