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18 April 2024

» arxiv » 0708.2938

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Neck Pinching Dynamics Under Mean Curvature Flow
Zhou Gang ; Israel Michael Sigal ;
Date:	22 Aug 2007
Abstract:	In this paper we study motion of surfaces of revolution under the mean curvature flow. For an open set of initial conditions close to cylindrical surfaces we show that the solution forms a "neck" which pinches in a finite time at a single point. We also obtain a detailed description of the neck pinching process.
Source:	arXiv, 0708.2938
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