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Minimizing movements for the mean curvature evolutions of partitions of the space

Shokhrukh Kholmatov
Location: 
A-133
Schedule: 
Friday, February 17, 2017 - 14:00
Abstract: 

In this talk I am going to discuss some results about the mean curvature evolutions of the space, from our recent paper, a joint work with my supervisor -- Prof. Giovanni Bellettini. In fact I prove the existence of a weak global in time mean curvature flow of a bounded partition  of space using the method of minimizing movements of De Giorgi.  We also show that the minimizing movement solution starting from a partition made by a union of bounded convex sets at a positive distance agrees with the classical mean curvature flow, and the motion is stable with respect to the Hausdorff convergence of the initial partition.

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