Skip navigation
Skip navigation

Mean curvature flow with free boundary on smooth hypersurfaces

Buckland, John


The classical mean curvature flow of hypersurfaces with boundary satisfying a Neumann condition on an arbitrary, fixed, smooth hypersurface in Euclidean space is examined. In particular, the problem of singularity formation on the free-boundary and the classification of the limiting behaviour thereof is focused on. A monotonicity formula is developed and used to show that any smooth blow up centred about a boundary point is self-similar, with smoothness of the blow up being shown to necessarily...[Show more]

CollectionsANU Research Publications
Date published: 2005
Type: Journal article
Source: Journal fur Reine und Angewandte Mathematik
DOI: 10.1515/crll.2005.2005.586.71


File Description SizeFormat Image
01_Buckland_Mean_curvature_flow_with_free_2005.pdf199.79 kBAdobe PDF    Request a copy

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

Updated:  12 November 2018/ Responsible Officer:  University Librarian/ Page Contact:  Library Systems & Web Coordinator