Equations of fluid dynamics with the ℓ–conformal Galilei symmetry

Abstract

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.