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- W2950435859 abstract "We consider the variational formulation for vertical slice models introduced in Cotter and Holm (Proc Roy Soc, 2013). These models have a Kelvin circulation theorem that holds on all materially-transported closed loops, not just those loops on isosurfaces of potential temperature. Potential vorticity conservation can be derived directly from this circulation theorem. In this paper, we show that this property is due to these models having a relabelling symmetry for every single diffeomorphism of the vertical slice that preserves the density, not just those diffeomorphisms that preserve the potential temperature. This is developed using the methodology of Cotter and Holm (Foundations of Computational Mathematics, 2012)." @default.
- W2950435859 created "2019-06-27" @default.
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- W2950435859 date "2018-08-15" @default.
- W2950435859 modified "2023-09-27" @default.
- W2950435859 title "Particle relabelling symmetries and Noether's theorem for vertical slice models" @default.
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- W2950435859 hasPublicationYear "2018" @default.
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