@article {doi:10.1137/17M1159294,
	title = {Minimizing Movements for Mean Curvature Flow of Partitions},
	journal = {SIAM Journal on Mathematical Analysis},
	volume = {50},
	number = {4},
	year = {2018},
	pages = {4117-4148},
	abstract = {<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>},
	doi = {10.1137/17M1159294},
	url = {https://doi.org/10.1137/17M1159294},
	author = {Giovanni Bellettini and Shokhrukh Kholmatov}
}
