  A non--minimally coupled quintessence model is investigated and the
conditions for a stationary solution to the coincidence problem are obtained.
For a conformally coupled scalar field and dissipative matter, a general
solution possessing late acceleration is found. It fits rather well the high
redshift supernovae data and gives a good prediction of the age of the
Universe. Likewise, the cold dark matter component dominates the cosmological
perturbations at late times albeit they decrease with expansion.
