保体积分数平均曲率流下球的稳定性

IF 1.3 3区数学 Q1 MATHEMATICS

Advances in Calculus of Variations Pub Date : 2022-04-11 DOI:10.1515/acv-2022-0027

A. Cesaroni, M. Novaga

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引用次数: 3

摘要

摘要我们考虑了一个近似球面集的体积约束分数平均曲率流，并证明了它的长时间存在性和渐近收敛性。该结果特别适用于全局存在假设下的凸初始数据。类似地，我们展示了周期图的分数平均曲率流到常数的指数收敛性。

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Stability of the ball under volume preserving fractional mean curvature flow

Abstract We consider the volume constrained fractional mean curvature flow of a nearly spherical set and prove long time existence and asymptotic convergence to a ball. The result applies in particular to convex initial data under the assumption of global existence. Similarly, we show exponential convergence to a constant for the fractional mean curvature flow of a periodic graph.

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来源期刊

Advances in Calculus of Variations MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

3.90

自引率

5.90%

发文量

审稿时长

>12 weeks

期刊介绍： Advances in Calculus of Variations publishes high quality original research focusing on that part of calculus of variation and related applications which combines tools and methods from partial differential equations with geometrical techniques.