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Asymptotic behavior of the volume preserving mean curvature flow

Vesa Julin
Schedule: 
Tuesday, January 12, 2021 - 15:00
Location: 
Online
Location: 
Zoom
Abstract: 

I will discuss about our recent article (joint work with Joonas Niinikoski) where we considers the weak solution of the volume preserving mean curvature flow. Here by weak solution we mean a flat flow, obtained via the minimizing movements scheme. We show in R^2 and R^3 that starting from any set of finite perimeter, the flow asymptotically convergences to a disjoint union of equisize balls, up to possible translations. The key technical result is a new quantitative Alexandrov theorem.

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