---
_id: '10013'
abstract:
- lang: eng
  text: 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:2003.05478] for any such cluster.
    This extends the two-dimensional construction to the three-dimensional case of
    surfaces meeting along triple junctions.
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.
article_number: '2108.01733'
article_processing_charge: No
arxiv: 1
author:
- first_name: Sebastian
  full_name: Hensel, Sebastian
  id: 4D23B7DA-F248-11E8-B48F-1D18A9856A87
  last_name: Hensel
  orcid: 0000-0001-7252-8072
- first_name: Tim
  full_name: Laux, Tim
  last_name: Laux
citation:
  ama: Hensel S, Laux T. Weak-strong uniqueness for the mean curvature flow of double
    bubbles. <i>arXiv</i>. doi:<a href="https://doi.org/10.48550/arXiv.2108.01733">10.48550/arXiv.2108.01733</a>
  apa: Hensel, S., &#38; Laux, T. (n.d.). Weak-strong uniqueness for the mean curvature
    flow of double bubbles. <i>arXiv</i>. <a href="https://doi.org/10.48550/arXiv.2108.01733">https://doi.org/10.48550/arXiv.2108.01733</a>
  chicago: Hensel, Sebastian, and Tim Laux. “Weak-Strong Uniqueness for the Mean Curvature
    Flow of Double Bubbles.” <i>ArXiv</i>, n.d. <a href="https://doi.org/10.48550/arXiv.2108.01733">https://doi.org/10.48550/arXiv.2108.01733</a>.
  ieee: S. Hensel and T. Laux, “Weak-strong uniqueness for the mean curvature flow
    of double bubbles,” <i>arXiv</i>. .
  ista: Hensel S, Laux T. Weak-strong uniqueness for the mean curvature flow of double
    bubbles. arXiv, 2108.01733.
  mla: Hensel, Sebastian, and Tim Laux. “Weak-Strong Uniqueness for the Mean Curvature
    Flow of Double Bubbles.” <i>ArXiv</i>, 2108.01733, doi:<a href="https://doi.org/10.48550/arXiv.2108.01733">10.48550/arXiv.2108.01733</a>.
  short: S. Hensel, T. Laux, ArXiv (n.d.).
corr_author: '1'
date_created: 2021-09-13T12:17:11Z
date_published: 2021-08-03T00:00:00Z
date_updated: 2026-04-08T07:01:01Z
day: '03'
department:
- _id: JuFi
doi: 10.48550/arXiv.2108.01733
ec_funded: 1
external_id:
  arxiv:
  - '2108.01733'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/2108.01733
month: '08'
oa: 1
oa_version: Preprint
project:
- _id: 0aa76401-070f-11eb-9043-b5bb049fa26d
  call_identifier: H2020
  grant_number: '948819'
  name: Bridging Scales in Random Materials
publication: arXiv
publication_status: draft
related_material:
  record:
  - id: '13043'
    relation: later_version
    status: public
  - id: '10007'
    relation: dissertation_contains
    status: public
status: public
title: Weak-strong uniqueness for the mean curvature flow of double bubbles
type: preprint
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2021'
...