Preprint

Inserted: 28 dec 2021
Last Updated: 28 dec 2021

Year: 2021

Abstract:

We provide the first general result for the asymptotics of the area preserving mean curvature flow in two dimensions showing that flat flow solutions, starting from any bounded set of finite perimeter, converge with exponential rate to a finite union of equally sized disjoint disks. A similar result is established also for the periodic two-phase Mullins-Sekerka flow.

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• JuMoPoSpa2021