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physics.flu-dyn2021
Addendum: Hidden symmetries, trivial conservation laws and Casimir invariants in geophysical fluid dynamics (2018 J. Phys. Commun. 2 115018)
Martin Charron, Ayrton Zadra
An extension is proposed to the internal symmetry transformations associated with mass, entropy and other Clebsch-related conservation in geophysical fluid dynamics. Those symmetry…
physics.flu-dyn2018
On the dissociation between potential vorticity conservation and symmetries
Martin Charron, Ayrton Zadra
Using a four-dimensional manifestly covariant formalism suitable for classical fluid dynamics, it is shown that the conservation of potential vorticity is not associated with any s…
physics.flu-dyn2017
Non-trivial and trivial conservation laws in covariant formulations of geophysical fluid dynamics
Martin Charron, Ayrton Zadra
Using a manifestly invariant Lagrangian density based on Clebsch fields and suitable for geophysical fluid dynamics, the conservation of mass, entropy, momentum and energy, and the…