Published Paper

Inserted: 26 jun 2024
Last Updated: 12 feb 2026

Journal: Archive for Rational Mechanics and Analysis
Volume: 249
Number: 6
Pages: Paper No. 78, 45
Year: 2025
Doi: https://doi.org/10.1007/s00205-025-02141-9

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 $C^2$-regular sets with a perimeter bound.

Download:

• JuMoOrSpa.pdf