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<p>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”.</p>

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Asymptotic Behavior of a Diffused Interface Volume-Preserving Mean Curvature Flow

  • 期刊论文

  • 发表日期：

    2026年3月31日

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  • Matteo Bonforte,
  • Francesco Maggi,
  • Daniel Restrepo

摘要

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”.