  Using the Poisson bracket method, we construct the hydrodynamics of nuclear
matter in the chiral limit, which describes the dynamics of all low-energy
degrees of freedom, including the fluid-dynamical and pionic ones. The
hydrodynamic equations contain, beside five Euler equations of relativistic
fluid dynamics, Nf^2-1 second order equations describing propagating pions and
Nf^2-1 first order equations describing the advection of the baryonic vector
isospin charges. We present hydrodynamic arguments showing that the pion
velocity vanishes at the second order phase transition at Nf=2.
