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Moving surfaces by non-concave curvature functions

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Date

2010

Authors

Andrews, Benjamin

Journal Title

Journal ISSN

Volume Title

Publisher

Springer

Abstract

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.

Description

Keywords

Citation

URI

http://hdl.handle.net/1885/17393

Collections

ANU Research Publications

Source

Calculus of Variations and Partial Differential Equations

Type

Journal article

Book Title

Entity type

Access Statement

License Rights

DOI

10.1007/s00526-010-0329-z

Restricted until

2037-12-31

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01_Andrews_Moving_surfaces_by_non-concave_2010.pdf (151.79 KB)

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