  We study a quintessential black hole solution in three dimensions, with mass
and quintessence charge. By exploring the Carter-Penrose diagram, we show the
presence of spacelike and lightlike singularities in the metric, given
different values for the quintessence parameter, as well as an AdS-like spatial
infinity and event horizon encapsulating the singularity. We also study the
propagation of scalar and Dirac (Weyl) fields around the black hole solutions
with different quintessence charges obtaining the quasinormal spectra for both
fields using two different numerical methods with good agreement between the
data. In both cases, the presence of quintessence increases the imaginary part
of the quasinormal mode, since this is related to the event horizon of the
solution, preserving the interpretation of this quantity as relaxation time in
the corresponding CFT. We also investigate the behavior of high-temperature
scalar field modes, demonstrating the presence of the so-called hydrodynamical
limit, differently from the BTZ black hole, for which no such modes exist.
