  A possible inconsistency arising when a radiative cooling term is
incorporated in a finite resolution self-gravitating hydrodynamic code is
discussed. The inconsistency appears when the heating-cooling balance within
the cooling and collapsing gas cloud is broken near the resolution limit of a
numerical code. As the result, the cooling time of a fluid element increases
enormously leading to the unphysical conclusion that the fluid element does not
cool and is therefore stable against the collapse. A special cooling
consistency condition is introduced which approximately restores the
heating-cooling balance and leads to a numerical solution that closely mimics
the exact (infinite resolution) solution.
