article Weak-strong uniqueness for the mean curvature flow of double bubbles published yes Sebastian Hensel author 4D23B7DA-F248-11E8-B48F-1D18A9856A870000-0001-7252-8072 Tim Laux author JuFi department Bridging Scales in Random Materials project 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. (2020) for any such cluster. This extends the two-dimensional construction to the three-dimensional case of surfaces meeting along triple junctions. https://research-explorer.ista.ac.at/download/13043/13045/2023_Interfaces_Hensel.pdf application/pdfno EMS Press2023 eng Interfaces and Free Boundaries 1463-9963 1463-9971 2108.01733 00097581730000210.4171/IFB/484 25137-107 https://research-explorer.ista.ac.at/record/10013 S. Hensel and T. Laux, “Weak-strong uniqueness for the mean curvature flow of double bubbles,” <i>Interfaces and Free Boundaries</i>, vol. 25, no. 1. EMS Press, pp. 37–107, 2023. S. Hensel, T. Laux, Interfaces and Free Boundaries 25 (2023) 37–107. Hensel, Sebastian, and Tim Laux. “Weak-Strong Uniqueness for the Mean Curvature Flow of Double Bubbles.” <i>Interfaces and Free Boundaries</i>, vol. 25, no. 1, EMS Press, 2023, pp. 37–107, doi:<a href="https://doi.org/10.4171/IFB/484">10.4171/IFB/484</a>. Hensel, S., &#38; Laux, T. (2023). Weak-strong uniqueness for the mean curvature flow of double bubbles. <i>Interfaces and Free Boundaries</i>. EMS Press. <a href="https://doi.org/10.4171/IFB/484">https://doi.org/10.4171/IFB/484</a> Hensel S, Laux T. Weak-strong uniqueness for the mean curvature flow of double bubbles. <i>Interfaces and Free Boundaries</i>. 2023;25(1):37-107. doi:<a href="https://doi.org/10.4171/IFB/484">10.4171/IFB/484</a> Hensel, Sebastian, and Tim Laux. “Weak-Strong Uniqueness for the Mean Curvature Flow of Double Bubbles.” <i>Interfaces and Free Boundaries</i>. EMS Press, 2023. <a href="https://doi.org/10.4171/IFB/484">https://doi.org/10.4171/IFB/484</a>. Hensel S, Laux T. 2023. Weak-strong uniqueness for the mean curvature flow of double bubbles. Interfaces and Free Boundaries. 25(1), 37–107. 130432023-05-21T22:01:06Z2025-04-14T09:35:57Z