---
OA_place: repository
OA_type: green
_id: '18926'
abstract:
- lang: eng
  text: 'We study weak solutions to mean curvature flow satisfying Young’s angle condition
    for general contact angles α ∈ (0, π). First, we construct BV solutions by using
    the Allen-Cahn approximation with boundary contact energy as proposed by Owen
    and Sternberg. Second, we prove the weak-strong uniqueness and stability for this
    solution concept. The main ingredient for both results is a relative energy, which
    can also be interpreted as a tilt excess. '
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. BV solutions for mean curvature flow with constant angle:
    Allen-Cahn approximation and weak-strong uniqueness. <i>Indiana University Mathematics
    Journal</i>. 2024;73(1):111-148. doi:<a href="https://doi.org/10.1512/iumj.2024.73.9701">10.1512/iumj.2024.73.9701</a>'
  apa: 'Hensel, S., &#38; Laux, T. (2024). BV solutions for mean curvature flow with
    constant angle: Allen-Cahn approximation and weak-strong uniqueness. <i>Indiana
    University Mathematics Journal</i>. Indiana University Mathematics Journal. <a
    href="https://doi.org/10.1512/iumj.2024.73.9701">https://doi.org/10.1512/iumj.2024.73.9701</a>'
  chicago: 'Hensel, Sebastian, and Tim Laux. “BV Solutions for Mean Curvature Flow
    with Constant Angle: Allen-Cahn Approximation and Weak-Strong Uniqueness.” <i>Indiana
    University Mathematics Journal</i>. Indiana University Mathematics Journal, 2024.
    <a href="https://doi.org/10.1512/iumj.2024.73.9701">https://doi.org/10.1512/iumj.2024.73.9701</a>.'
  ieee: 'S. Hensel and T. Laux, “BV solutions for mean curvature flow with constant
    angle: Allen-Cahn approximation and weak-strong uniqueness,” <i>Indiana University
    Mathematics Journal</i>, vol. 73, no. 1. Indiana University Mathematics Journal,
    pp. 111–148, 2024.'
  ista: 'Hensel S, Laux T. 2024. BV solutions for mean curvature flow with constant
    angle: Allen-Cahn approximation and weak-strong uniqueness. Indiana University
    Mathematics Journal. 73(1), 111–148.'
  mla: 'Hensel, Sebastian, and Tim Laux. “BV Solutions for Mean Curvature Flow with
    Constant Angle: Allen-Cahn Approximation and Weak-Strong Uniqueness.” <i>Indiana
    University Mathematics Journal</i>, vol. 73, no. 1, Indiana University Mathematics
    Journal, 2024, pp. 111–48, doi:<a href="https://doi.org/10.1512/iumj.2024.73.9701">10.1512/iumj.2024.73.9701</a>.'
  short: S. Hensel, T. Laux, Indiana University Mathematics Journal 73 (2024) 111–148.
corr_author: '1'
date_created: 2025-01-27T15:20:19Z
date_published: 2024-01-01T00:00:00Z
date_updated: 2025-01-27T15:23:57Z
day: '01'
department:
- _id: JuFi
doi: 10.1512/iumj.2024.73.9701
external_id:
  arxiv:
  - '2112.11150'
intvolume: '        73'
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2112.11150
month: '01'
oa: 1
oa_version: Preprint
page: 111-148
publication: Indiana University Mathematics Journal
publication_identifier:
  issn:
  - 0022-2518
publication_status: published
publisher: Indiana University Mathematics Journal
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'BV solutions for mean curvature flow with constant angle: Allen-Cahn approximation
  and weak-strong uniqueness'
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 73
year: '2024'
...