Skip navigation
Skip navigation

Moving surfaces by non-concave curvature functions

Andrews, Benjamin


A convex surface contracting by a strictly monotone, homogeneous degree one function of its principal curvatures remains smooth until it contracts to a point in finite time, and is asymptotically spherical in shape. No assumptions are made on the concavity of the speed as a function of principal curvatures. We also discuss motion by functions homogeneous of degree greater than 1 in the principal curvatures.

CollectionsANU Research Publications
Date published: 2010
Type: Journal article
Source: Calculus of Variations and Partial Differential Equations
DOI: 10.1007/s00526-010-0329-z


File Description SizeFormat Image
01_Andrews_Moving_surfaces_by_non-concave_2010.pdf151.79 kBAdobe PDF    Request a copy

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