  We prove the existence of a weak global in time mean curvature flow of a
bounded partition of space using the method of minimizing movements. The result
is extended to the case when suitable driving forces are present. We also prove
some consistency results for a minimizing movement solution with smooth and
viscosity solutions when the evolution starts from a partition made by a union
of bounded sets at a positive distance. In addition, the motion starting from
the union of convex sets at a positive distance agrees with the classical mean
curvature flow and is stable with respect to the Hausdorff convergence of the
initial partitions.
