  Coronal supra-arcade downflows (SADs) are observed as dark trails descending
towards hot turbulent fan shaped regions. Due to the large temperature values,
and gradients in these fan regions the thermal conduction should be very
efficient. While several models have been proposed to explain the triggering
and the evolution of SADs, none of these scenarios address a systematic
consideration of thermal conduction. Thus, we accomplish this task numerically
simulating the evolution of SADs within this framework. That is, SADs are
conceived as voided (subdense) cavities formed by non-linear waves triggered by
downflowing bursty localized reconnection events in a perturbed hot fan. We
generate a properly turbulent fan, obtained by a stirring force that permits
control of the energy and vorticity input in the medium where SADs develop. We
include anisotropic thermal conduction and consider plasma properties
consistent with observations. Our aim is to study if it is possible to prevent
SADs to vanish by thermal diffusion. We find that this will be the case,
depending on the turbulence parameters. In particular, if the magnetic field
lines are able to envelope the voided cavities, thermally isolating them from
the hot environment. Velocity shear perturbations that are able to generate
instabilities of the Kelvin-Helmholtz type help to produce magnetic islands,
extending the life-time of SADs.
