Neck Pinching Dynamics Under Mean Curvature Flow

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dc.creatorGang, Zhou
dc.creatorSigal, Israel Michael
dc.date2007-08-21
dc.date.accessioned2026-07-07T08:24:55Z
dc.date.available2026-07-07T08:24:55Z
dc.descriptionIn 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.
dc.description38 Pages
dc.identifierhttps://arxiv.org/abs/0708.2938
dc.identifierhttp://arxiv.org/abs/0708.2938
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/136506
dc.subjectAnalysis of PDEs
dc.subjectDifferential Geometry
dc.titleNeck Pinching Dynamics Under Mean Curvature Flow
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