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

François Gay-Balmaz; Tudor S. Ratiu

doi:10.1088/1751-8113/41/34/344007

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

François Gay-Balmaz
, Tudor S. Ratiu

ENAC-IIC-GEL

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Article number	344007
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	41
Issue number	34
DOIs	https://doi.org/10.1088/1751-8113/41/34/344007
Publication status	Published - 29 Aug 2008
Externally published	Yes

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title = "Affine Lie-Poisson reduction, Yang-Mills magnetohydrodynamics, and superfluids",

abstract = "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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AB - 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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DO - 10.1088/1751-8113/41/34/344007

M3 - Article

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

Abstract

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