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We derive a weak-strong uniqueness principle for BV solutions to multiphasemean curvature flow of triple line clusters in three dimensions. Our proof isbased on the explicit construction of a gradient-flow calibration in the senseof the recent work of Fischer et al. [arXiv:2003.05478v2] for any such cluster.This extends the two-dimensional construction to the three-dimensional case ofsurfaces meeting along triple junctions.

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