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Singularities in crystalline curvature flows

Andrews, Ben


This paper discusses the behaviour of polygonal convex curves in the plane moving under crystalline curvature °ows, in which the speed of motion of each edge is determined by a function of its length. The behaviour depends on the rate of growth of the speed as the length of the edge approaches zero: For slow growth - including the homogeneous case where speed is inversely proportional to a power $\alpha \in (0, 1)$ of the length - there are always solutions for which the enclosed area...[Show more]

CollectionsANU Research Publications
Date published: 2001
Type: Journal article
Source: Asian Journal of Mathematics


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