Skip navigation
Skip navigation

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

Andrews, Benjamin


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
Source: Communications in Analysis and Geometry


There are no files associated with this item.

Items in Open Research are protected by copyright, with all rights reserved, unless otherwise indicated.

Updated:  19 May 2020/ Responsible Officer:  University Librarian/ Page Contact:  Library Systems & Web Coordinator