  Cool and dense prominences found in the solar atmosphere are known to be
partially ionized because of their relative low temperature. In this Letter, we
address the long-standing problem of how the neutral component of the plasma in
prominences is supported against gravity. Using the multiple fluid approach we
solve the time-dependent equations in two dimensions considering the frictional
coupling between the neutral and ionized components of the magnetized plasma
representative of a solar prominence embedded in a hot coronal environment. We
demonstrate that given an initial density enhancement in the two fluids,
representing the body of the prominence, the system is able to relax in the
vicinity of magnetic dips to a stationary state in which both neutrals and
ionized species are dynamically suspended above the photosphere. Two different
coupling processes are considered in this study, collisions between ions and
neutrals and charge exchange interactions. We find that for realistic
conditions ions are essentially static while neutrals have a very small
downflow velocity. The coupling between ions and neutrals is so strong at the
prominence body that the behavior is similar to that of a single fluid with an
effective density equal to the sum of the ion and neutral species. We also find
that the charge exchange mechanism is about three times more efficient
sustaining neutrals than elastic scattering of ions with neutrals.
