2D hydrodynamical simulations are performed to examine the evaporation and
condensation processes of giant molecular clouds in the hot phase of the in
terstellar medium. The evolution of cold and dense clouds (T = 1000 K, n =
3 cm(-3), M = 6.10(4) M-.) is calculated in the subsonic stream of a hot te
nuous plasma (T = 5.10(6) K, n = 6.10(-4)cm(-3)). Our code includes self-gr
avity, heating and cooling processes and heat conduction by electrons. The
thermal conductivity of a fully ionized hydrogen plasma (kappa proportional
to T-5/2) is applied as well as a saturated heat flux in regions where the
mean free path of the electrons is large compared to the temperature scale
height. Significant differences occur between simulations with and without
heat conduction. In the simulations without heat conduction, the clouds out
ermost regions is stired up by Kelvin-Helmholtz (KH) instability after only
a few dynamical times. This prevents an infiltration of a significant amou
nt of hot gas into the cloud before its destruction. In contrast, models in
cluding heat conduction evolve less violently. The boundary of the cloud re
mains nearly unsusceptible to KH instabilities. In this scenario it is poss
ible to mix the formerly hot streaming gas very effectively with the cloud
material.