Non-Convergence and instability in the asymptotic behaviour of curves evolving by curvature
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.
Collections | ANU Research Publications |
---|---|
Date published: | 2002 |
Type: | Journal article |
URI: | http://hdl.handle.net/1885/72695 |
Source: | Communications in Analysis and Geometry |
Download
There are no files associated with this item.
Items in Open Research are protected by copyright, with all rights reserved, unless otherwise indicated.
Updated: 17 November 2022/ Responsible Officer: University Librarian/ Page Contact: Library Systems & Web Coordinator