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

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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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Mathematical Physics, Chaotic Dynamics

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http://salesiana.dossiersoluciones.com/handle/123456789/224577

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0903.4292
 http://arxiv.org/abs/0903.4292

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arXiv