## Singularities in crystalline curvature flows

### Description

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]

Collections ANU Research Publications 2001 Journal article http://hdl.handle.net/1885/41338http://digitalcollections.anu.edu.au/handle/1885/41338 Asian Journal of Mathematics