Hydrodynamics is applied to describe the dynamics of relativistic heav
y-ion collisions. The focus of the present study is the influence of a
possible (phase) transition to the quark-gluon plasma in the nuclear
matter equation of state on collective observables, such as the lifeti
me of the system and the transverse directed flow of matter. It is sho
wn that such a transition leads to a softening of the equation of stat
e, and consequently to a time-delayed expansion which is in principle
observable via two-particle correlation functions. Moreover, the delay
ed expansion leads to a local minimum in the excitation function of tr
ansverse directed flow around AGS energies.