Singularity structure in mean curvature flow of mean convex sets

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In this note we announce results on the mean curvature flow of mean convex sets in 3-dimensions. Loosely speaking, our results justify the naive picture of mean curvature flow where the only singularities are neck pinches, and components which collapse to asymptotically round spheres.

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Differential Geometry, Analysis of PDEs, 53C44

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http://salesiana.dossiersoluciones.com/handle/123456789/68874

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0310242
 http://arxiv.org/abs/math/0310242

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arXiv