  We describe fireballs that rehadronize from a perfectly fluid quark matter to
a chemically frozen, multi-component hadron gas. In the hydrodynamics of these
fireballs, we utilize the lattice QCD equation of state, however, we also apply
non-relativistic kinematics for simplicity and clarity. Two new classes of
exact, analytic solutions of fireball hydrodynamics are presented: the first
class describes triaxially expanding, non-rotating ellipsoidal fireballs, while
the second class of exact solutions corresponds to spheroidally symmetric,
rotating fireballs. In both classes of solutions, we find evidence for a
secondary explosion, that happens just after hadrochemical freeze-out. A
realistic, linear mass scaling of the slope parameters of the single particle
spectra of various hadronic species is obtained analytically, as well as an
also realistic, linear mass scaling of the inverse of the squared HBT radius
parameters of the Bose-Einstein correlation functions.
