A sharp quantitative Alexandrov inequality and applications to volume preserving geometric flows in 3D
Differential Geometry
2024-06-26 v1 Analysis of PDEs
Abstract
We study the asymptotic behavior of the volume preserving mean curvature and the Mullins-Sekerka flat flow in three dimensional space. Motivated by this we establish a 3D sharp quantitative version of the Alexandrov inequality for -regular sets with a perimeter bound.
Keywords
Cite
@article{arxiv.2406.17691,
title = {A sharp quantitative Alexandrov inequality and applications to volume preserving geometric flows in 3D},
author = {Vesa Julin and Massimiliano Morini and Francesca Oronzio and Emanuele Spadaro},
journal= {arXiv preprint arXiv:2406.17691},
year = {2024}
}