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

Sebastian Hensel; Tim Laux

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

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arxiv 2108.01733 v2 pith:3EKHOGSB submitted 2021-08-03 math.AP

Sebastian Hensel , Tim Laux This is my paper · ORCID

classification math.AP

keywords constructioncurvatureflowmeantripleuniquenessweak-strongalong

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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 three-dimensional case of surfaces meeting along triple junctions.

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