Corpus ID: 236913021

Weak-strong uniqueness for the mean curvature flow of double bubbles

  title={Weak-strong uniqueness for the mean curvature flow of double bubbles},
  author={Sebastian Hensel and Tim Laux},
We derive a weak-strong uniqueness principle for BV solutions to multiphase mean curvature flow of triple line clusters in three dimensions. Our proof is based on the explicit construction of a gradient-flow calibration in the sense of the recent work of Fischer et al. [arXiv:2003.05478v2] for any such cluster. This extends the two-dimensional construction to the threedimensional case of surfaces meeting along triple junctions. 
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