Lagrangian formulation for perfect fluid equations with the l-conformal Galilei symmetry

Abstract

Lagrangian formulation for perfect fluid equations which hold invariant under the $\ell$-conformal Galilei group with half-integer $\ell$ is proposed. It is based on a Clebsch-type parametrization and reproduces Lagrangian description of the Euler fluid equations for $\ell =\frac{1}{2}$. The transition from the Lagrangian formulation to the Hamiltonian one is analyzed in detail.

11 pages; v2: 12 pages, introduction extended, comments and references added

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Cited by in corpus (3)

• Perfect fluid dynamics with conformal Newton-Hooke symmetries
• Perfect fluid equations with N=1,2 Schrodinger supersymmetry
• Remarks on Galilean electromagnetism