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On flows that preserve parallel curves and their formation of singularities

On flows that preserve parallel curves and their formation of singularities We discuss several examples of curvature flows for convex closed plane curves that preserve parallel curves and use this property to find singularities (curvature blow-up) of these flows. A precise curvature blow-up rate is also obtained. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Evolution Equations Springer Journals

On flows that preserve parallel curves and their formation of singularities

Journal of Evolution Equations , Volume 18 (2) – Jun 16, 2017

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References (13)

Publisher
Springer Journals
Copyright
Copyright © 2017 by Springer International Publishing AG
Subject
Mathematics; Analysis
ISSN
1424-3199
eISSN
1424-3202
DOI
10.1007/s00028-017-0402-6
Publisher site
See Article on Publisher Site

Abstract

We discuss several examples of curvature flows for convex closed plane curves that preserve parallel curves and use this property to find singularities (curvature blow-up) of these flows. A precise curvature blow-up rate is also obtained.

Journal

Journal of Evolution EquationsSpringer Journals

Published: Jun 16, 2017

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