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Equations of fluid dynamics with the l-conformal Galilei symmetry
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Equations of fluid dynamics are formulated, which hold invariant under the action of the l-conformal Galilei group. They include the conventional continuity equation, a higher order material derivative analogue of the Euler equation, and a suitable modification of the conventional equation of state. Conserved charges associated with the l-conformal Galilei symmetry transformations are presented.
Forward citations
Cited by 2 Pith papers
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On the instability of some upward propagating, exact, nonlinear mountain waves
Exact dry-adiabatic mountain waves are linearly unstable for steepness above 1/3, with an unstable layer beneath the tropopause.
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Remarks on Galilean electromagnetism
The electric and magnetic nonrelativistic limits of Maxwell's equations with sources are invariant under the ℓ-conformal Galilei group for any half-integer ℓ, and this symmetry permits unphysical accelerating solutions.
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