---
_id: '13043'
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\r\nof a gradient flow calibration in the sense
    of the recent work of Fischer et al. (2020) for any such\r\ncluster. This extends
    the two-dimensional construction to the three-dimensional case of surfaces\r\nmeeting
    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_processing_charge: No
article_type: original
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>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>
  apa: 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>
  chicago: 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>.
  ieee: 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.
  ista: Hensel S, Laux T. 2023. Weak-strong uniqueness for the mean curvature flow
    of double bubbles. Interfaces and Free Boundaries. 25(1), 37–107.
  mla: 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>.
  short: S. Hensel, T. Laux, Interfaces and Free Boundaries 25 (2023) 37–107.
date_created: 2023-05-21T22:01:06Z
date_published: 2023-04-20T00:00:00Z
date_updated: 2023-08-01T14:43:29Z
day: '20'
ddc:
- '510'
department:
- _id: JuFi
doi: 10.4171/IFB/484
ec_funded: 1
external_id:
  arxiv:
  - '2108.01733'
  isi:
  - '000975817300002'
file:
- access_level: open_access
  checksum: 622422484810441e48f613e968c7e7a4
  content_type: application/pdf
  creator: dernst
  date_created: 2023-05-22T07:24:13Z
  date_updated: 2023-05-22T07:24:13Z
  file_id: '13045'
  file_name: 2023_Interfaces_Hensel.pdf
  file_size: 867876
  relation: main_file
  success: 1
file_date_updated: 2023-05-22T07:24:13Z
has_accepted_license: '1'
intvolume: '        25'
isi: 1
issue: '1'
language:
- iso: eng
month: '04'
oa: 1
oa_version: Published Version
page: 37-107
project:
- _id: 0aa76401-070f-11eb-9043-b5bb049fa26d
  call_identifier: H2020
  grant_number: '948819'
  name: Bridging Scales in Random Materials
publication: Interfaces and Free Boundaries
publication_identifier:
  eissn:
  - 1463-9971
  issn:
  - 1463-9963
publication_status: published
publisher: EMS Press
quality_controlled: '1'
related_material:
  record:
  - id: '10013'
    relation: earlier_version
    status: public
scopus_import: '1'
status: public
title: Weak-strong uniqueness for the mean curvature flow of double bubbles
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 25
year: '2023'
...