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Motion of hypersurfaces by curvature

Langford, Mat

Description

It is well-known that solutions of such flows necessarily suffer finite time singularities. On the other hand, under various natural conditions, singularities are characterised by a curvature blow-up. Our first main area of study concerns the asymptotic behaviour of the curvature at a singularity. We first prove a quantitative convexity estimate for positive solutions (that is, solutions moving with inward normal speed everywhere positive) under one of the following additional assumptions:...[Show more]

CollectionsOpen Access Theses
Date published: 2014-08
Type: Thesis (PhD)
URI: http://hdl.handle.net/1885/14119

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