  We present two results concerning the spin (or pseudo spin) dynamics of
trapped quantum gases in the hydrodynamic regime described by the Leggett
equations. First, we apply perturbation theory to extend the ``bounded
diffusion'' description to trapped systems for small field inhomogeneities.
Second, we study the formation of long-lived domains with a numerical stability
analysis of the lowest-lying longitudinal diffusive modes. We also use computer
simulations of pi-pulse experiments to determine the range of experimental
parameters where the formation of domains can be observed.
