  We consider a one-dimensional unpinned chain of harmonic oscillators with
random masses. We prove that after hyperbolic scaling of space and time the
distributions of the elongation, momentum and energy converge to the solution
of the Euler equations. Anderson localization decouples the mechanical modes
from the thermal modes, allowing the closure of the energy conservation
equation even out of thermal equilibrium. This example shows that the
derivation of Euler equations rests primarily on scales separation and not on
ergodicity. Furthermore, it follows from our proof that the temperature profile
does not evolve in any space-time scale.
