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

IF 2.9 1区数学 Q1 MATHEMATICS, APPLIED

Archive for Rational Mechanics and Analysis Pub Date : 2026-03-31 DOI:10.1007/s00205-026-02185-5

Matteo Bonforte, Francesco Maggi, Daniel Restrepo

引用次数: 0

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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一类保持体积的扩散界面平均曲率流的渐近性质

我们考虑欧几里得空间中保体积平均曲率流的扩散界面版本，并证明，在每个维度和在初始基准上的自然假设下，指数收敛于单个“扩散球”。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Archive for Rational Mechanics and Analysis 物理-力学

CiteScore

5.10

自引率

8.00%

发文量

审稿时长

4-8 weeks

期刊介绍： The Archive for Rational Mechanics and Analysis nourishes the discipline of mechanics as a deductive, mathematical science in the classical tradition and promotes analysis, particularly in the context of application. Its purpose is to give rapid and full publication to research of exceptional moment, depth and permanence.