Behaviour of singularities of the rotationally symmetric, volume-preserving mean curvature flow

被引：0

作者：

M. Athanassenas

机构：

[1] School of Mathematical Sciences,

[2] PO Box 28M,undefined

[3] Monash University,undefined

[4] VIC 3168,undefined

[5] Australia (e-mail: athanas@geometry.maths.monash.edu.au) ,undefined

来源：

Calculus of Variations and Partial Differential Equations | 2003年 / 17卷

关键词：

Free Boundary; Curvature Flow; Monotonicity Formula;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We study developing singularities for surfaces of rotation with free boundaries and evolving under volume-preserving mean curvature flow. We show that singularities form a finite, discrete set along the axis of rotation. We prove a monotonicity formula and conclude that type I singularities are asymtotically cylindrical.

引用

页码：1 / 16

页数：15

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