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.

arXiv comment14 pages

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Cited by in corpus (10)

• The group-theoretic approach to perfect fluid equations with conformal symmetry
• Hamiltonian formulation for perfect fluid equations with the l-conformal Galilei symmetry
• Various disguises of the Pais-Uhlenbeck oscillator
• Lagrangian formulation for perfect fluid equations with the l-conformal Galilei symmetry
• Remarks on higher Schwarzians
• Perfect fluid dynamics with conformal Newton-Hooke symmetries
• Perfect fluid equations with N=1,2 Schrodinger supersymmetry
• Perfect fluid coupled to a solenoidal field which enjoys the l-conformal Galilei symmetry
• Remarks on Galilean electromagnetism
• New dynamical realizations of the Lifshitz group