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arXiv · 1304.5026

Dual pairs for non-abelian fluids

Francois Gay-Balmaz·Cornelia Vizman
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Abstract

This paper is a rigorous study of two dual pairs of momentum maps arising in the context of fluid equations whose configuration Lie group is the group of automorphism of a trivial principal bundle, generically called here non-abelian fluids. It is shown that the actions involved are mutually completely orthogonal, which directly implies the dual pair property.

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Francois Gay-Balmaz, Cornelia Vizman. 2013-04-18. Dual pairs for non-abelian fluids. https://arxiv.org/abs/1304.5026

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