Calculus of Variations and Geometric Measure Theory

M. Bonforte - F. Maggi - D. Restrepo

Asymptotic behavior of a diffused interface volume-preserving mean curvature flow

created by maggi on 29 Jul 2024

[BibTeX]

preprint

Inserted: 29 jul 2024

Year: 2024

ArXiv: 2407.18868 PDF

Abstract:

We consider a diffused interface version of the volume-preserving mean curvature flow in the Euclidean space, and prove, in every dimension and under natural assumptions on the initial datum, exponential convergence towards single "diffused balls".