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Non-Convergence and instability in the asymptotic behaviour of curves evolving by curvature

Andrews, Benjamin

Description

We consider curvature-driven evolution equations for curves in the plane, and prove that the isoperimetric ratios of the evolving curves generically approach infinity if the speed of motion is proportional to curvature to a power less than 1/3.

CollectionsANU Research Publications
Date published: 2002
Type: Journal article
URI: http://hdl.handle.net/1885/72695
Source: Communications in Analysis and Geometry

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