01065nas a2200133   4500008004100000245006300041210006300104300001400167490000700181520065400188100002500842700002500867856003900892       2018                        eng d00aMinimizing Movements for Mean Curvature Flow of Partitions0 aMinimizing Movements for Mean Curvature Flow of Partitions  a4117-41480 v503 a<p>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.</p>1 aBellettini, Giovanni1 aKholmatov, Shokhrukh  uhttps://doi.org/10.1137/17M1159294