Weak-strong uniqueness for the mean curvature flow of double bubbles
Hensel S, Laux T. 2023. Weak-strong uniqueness for the mean curvature flow of double bubbles. Interfaces and Free Boundaries. 25(1), 37–107.
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Author
Hensel, SebastianISTA 
;
Laux, Tim
;
Laux, TimDepartment
Abstract
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.
Publishing Year
Date Published
2023-04-20
Journal Title
Interfaces and Free Boundaries
Acknowledgement
This project has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement no. 948819), and from the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany’s Excellence Strategy – EXC-2047/1 – 390685813.
Volume
25
Issue
1
Page
37-107
ISSN
eISSN
IST-REx-ID
Cite this
Hensel S, Laux T. Weak-strong uniqueness for the mean curvature flow of double bubbles. Interfaces and Free Boundaries. 2023;25(1):37-107. doi:10.4171/IFB/484
Hensel, S., & Laux, T. (2023). Weak-strong uniqueness for the mean curvature flow of double bubbles. Interfaces and Free Boundaries. EMS Press. https://doi.org/10.4171/IFB/484
Hensel, Sebastian, and Tim Laux. “Weak-Strong Uniqueness for the Mean Curvature Flow of Double Bubbles.” Interfaces and Free Boundaries. EMS Press, 2023. https://doi.org/10.4171/IFB/484.
S. Hensel and T. Laux, “Weak-strong uniqueness for the mean curvature flow of double bubbles,” Interfaces and Free Boundaries, vol. 25, no. 1. EMS Press, pp. 37–107, 2023.
Hensel S, Laux T. 2023. Weak-strong uniqueness for the mean curvature flow of double bubbles. Interfaces and Free Boundaries. 25(1), 37–107.
Hensel, Sebastian, and Tim Laux. “Weak-Strong Uniqueness for the Mean Curvature Flow of Double Bubbles.” Interfaces and Free Boundaries, vol. 25, no. 1, EMS Press, 2023, pp. 37–107, doi:10.4171/IFB/484.
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