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Minimizing Movements for Mean Curvature Flow of Partitions by Bellettini, Giovanni; Kholmatov, Shokhrukh Yusufovich is a scholarly article available to read on EtoBox.

What is Minimizing Movements for Mean Curvature Flow of Partitions about?

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.

Author

Bellettini, Giovanni; Kholmatov, Shokhrukh Yusufovich

Published

2017

Language

EN