Geodesic
Time-global existence of generalized BV flow via the Allen–Cahn equation
Kiichi Tashiro1 orcid
1Tokyo Institute of Technology, Tokyo, Japan
Interfaces and free boundaries, Tome 27 (2025) no. 1, pp. 123-140

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

DOI

We show that a mean curvature flow obtained as the limit of the Allen–Cahn equation is not only a Brakke flow but also a generalized BV flow proposed by Stuvard and Tonegawa (2024).
DOI : 10.4171/ifb/521
Classification : 53E10, 28A75
Mots-clés : Allen–Cahn equation, geometric measure theory, mean curvature flow

Kiichi Tashiro  1

1 Tokyo Institute of Technology, Tokyo, Japan 
Kiichi Tashiro. Time-global existence of generalized BV flow via the Allen–Cahn equation. Interfaces and free boundaries, Tome 27 (2025) no. 1, pp. 123-140. doi: 10.4171/ifb/521
@article{10_4171_ifb_521,
     author = {Kiichi Tashiro},
     title = {Time-global existence of generalized {BV} flow via the {Allen{\textendash}Cahn} equation},
     journal = {Interfaces and free boundaries},
     pages = {123--140},
     year = {2025},
     volume = {27},
     number = {1},
     doi = {10.4171/ifb/521},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/521/}
}
TY  - JOUR
AU  - Kiichi Tashiro
TI  - Time-global existence of generalized BV flow via the Allen–Cahn equation
JO  - Interfaces and free boundaries
PY  - 2025
SP  - 123
EP  - 140
VL  - 27
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4171/ifb/521/
DO  - 10.4171/ifb/521
ID  - 10_4171_ifb_521
ER  - 
%0 Journal Article
%A Kiichi Tashiro
%T Time-global existence of generalized BV flow via the Allen–Cahn equation
%J Interfaces and free boundaries
%D 2025
%P 123-140
%V 27
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4171/ifb/521/
%R 10.4171/ifb/521
%F 10_4171_ifb_521

Cité par Sources :