Geodesic
Weak-strong uniqueness for the mean curvature flow of double bubbles
Sebastian Hensel1 orcid ; Tim Laux2 orcid
1Universität Bonn, Germany; Institute of Science and Technology Austria, Klosterneuburg, Austria
2Universität Bonn, Germany
Interfaces and free boundaries, Tome 25 (2023) no. 1, pp. 37-107

Voir la notice de l'article provenant de la source EMS Press

DOI

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.
DOI : 10.4171/ifb/484
Classification : 53-XX, 35-XX
Mots-clés : Mean curvature flow, double bubble, triple line, weak-strong uniqueness, relative entropy method, gradient flow calibration

Sebastian Hensel  1   ; Tim Laux  2

1 Universität Bonn, Germany; Institute of Science and Technology Austria, Klosterneuburg, Austria
2 Universität Bonn, Germany 
Sebastian Hensel; Tim Laux. Weak-strong uniqueness for the mean curvature flow of double bubbles. Interfaces and free boundaries, Tome 25 (2023) no. 1, pp. 37-107. doi: 10.4171/ifb/484
@article{10_4171_ifb_484,
     author = {Sebastian Hensel and Tim Laux},
     title = {Weak-strong uniqueness for the mean curvature flow of double bubbles},
     journal = {Interfaces and free boundaries},
     pages = {37--107},
     year = {2023},
     volume = {25},
     number = {1},
     doi = {10.4171/ifb/484},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/484/}
}
TY  - JOUR
AU  - Sebastian Hensel
AU  - Tim Laux
TI  - Weak-strong uniqueness for the mean curvature flow of double bubbles
JO  - Interfaces and free boundaries
PY  - 2023
SP  - 37
EP  - 107
VL  - 25
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4171/ifb/484/
DO  - 10.4171/ifb/484
ID  - 10_4171_ifb_484
ER  - 
%0 Journal Article
%A Sebastian Hensel
%A Tim Laux
%T Weak-strong uniqueness for the mean curvature flow of double bubbles
%J Interfaces and free boundaries
%D 2023
%P 37-107
%V 25
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4171/ifb/484/
%R 10.4171/ifb/484
%F 10_4171_ifb_484

Cité par Sources :