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

Matteo Bonforte; Francesco Maggi; Daniel Restrepo

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arXiv · 2407.18868

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

Matteo Bonforte·Francesco Maggi·Daniel Restrepo

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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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Matteo Bonforte, Francesco Maggi, Daniel Restrepo. 2024-07-26. Asymptotic behavior of a diffused interface volume-preserving mean curvature flow. https://arxiv.org/abs/2407.18868

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