  We study the dynamics of condensate formation in an inhomogeneous trapped
Bose gas with a positive interatomic scattering length. We take into account
both the nonequilibrium kinetics of the thermal cloud and the Hartree-Fock
mean-field effects in the condensed and the noncondensed parts of the gas. Our
growth equations are solved numerically by assuming that the thermal component
behaves ergodically and that the condensate, treated within the Thomas-Fermi
approximation, grows adiabatically. Our simulations are in good qualitative
agreement with experiment, however important discrepancies concerning details
of the growth behaviour remain.
