Weak-strong uniqueness for the mean curvature flow of double bubbles

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2021-08-03 DOI:10.4171/ifb/484

S. Hensel, Tim Laux

引用次数: 7

Abstract

We derive a weak-strong uniqueness principle for BV solutions to multiphase mean curvature flow of triple line clusters in three dimensions. Our proof is based on the explicit construction of a gradient-flow calibration in the sense of the recent work of Fischer et al. [arXiv:2003.05478v2] for any such cluster. This extends the two-dimensional construction to the threedimensional case of surfaces meeting along triple junctions.

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双气泡平均曲率流动的弱-强唯一性

导出了三维三线团簇多相平均曲率流的BV解的弱-强唯一性原理。我们的证明是基于Fischer et al. [arXiv: 2003.054778 v2]最近工作意义上的梯度流校准的显式构造。这将二维结构扩展到沿三重结的曲面相遇的三维情况。

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

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

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