Asymptotic behavior of a diffused interface volume-preserving mean curvature flow
Analysis of PDEs
2024-07-29 v1 Differential Geometry
Optimization and Control
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".
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Cite
@article{arxiv.2407.18868,
title = {Asymptotic behavior of a diffused interface volume-preserving mean curvature flow},
author = {Matteo Bonforte and Francesco Maggi and Daniel Restrepo},
journal= {arXiv preprint arXiv:2407.18868},
year = {2024}
}
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51 pages