Supersymmetric hydrodynamics

We work out some properties of a recently proposed globally N=1 supersymmetric extension of relativistic fluid mechanics in four-dimensional Minkowski space. We construct the Lagrangean, discuss its symmetries and the corresponding conserved Noether charges. We reformulate the theory in Hamiltonian formulation, and rederive the (supersymmetry and internal) transformations generated by these charges. Super-Poincaré algebra is also realized in this formulation.