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math.AP2018★ 1 cited
Cullen's Stability Principle and Weak Solutions of the Free-surface Semi-geostrophic Equations
Mike J. P. Cullen, Tobias Kuna, Beatrice Pelloni +1
The semi-geostrophic equations are used widely in the modelling of large-scale atmospheric flows. In this note, we prove the global existence of weak solutions of the incompressibl…
math-ph2018
Particle relabelling symmetries and Noether's theorem for vertical slice models
Colin J. Cotter, Michael J. P. Cullen
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 a…