双气泡平均曲率流动的弱-强唯一性

IF 1.2 4区数学 Q1 MATHEMATICS

Interfaces and Free Boundaries Pub Date : 2021-08-03 DOI:10.4171/ifb/484

S. Hensel, Tim Laux

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引用次数: 7

摘要

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。

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

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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来源期刊

Interfaces and Free Boundaries 数学-数学

CiteScore

1.70

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Interfaces and Free Boundaries is dedicated to the mathematical modelling, analysis and computation of interfaces and free boundary problems in all areas where such phenomena are pertinent. The journal aims to be a forum where mathematical analysis, partial differential equations, modelling, scientific computing and the various applications which involve mathematical modelling meet. Submissions should, ideally, emphasize the combination of theory and application.