Perfect fluid dynamics with conformal Newton-Hooke symmetries

Perfect fluid equations are formulated which are invariant under the $\mathrm{\ell }$-conformal Newton-Hooke group for an arbitrary integer or half-integer value of the parameter $\mathrm{\ell }$. For $\mathrm{\ell }=\frac{3}{2}$ the corresponding conserved charges are constructed and the Hamiltonian formulation is built.