  We discuss stability and phase coherence of 1D trapped Bose gases and find
that inelastic decay processes, such as 3-body recombination, are suppressed in
the strongly interacting (Tonks-Girardeau) and intermediate regimes. This is
promising for achieving these regimes with a large number of particles.
"Fermionization" of the system reduces the phase coherence length, and at T=0
the gas is fully phase coherent only deeply in the weakly interacting
(Gross-Pitaevskii) regime.
