Moving surfaces by non-concave curvature functions
| dc.contributor.author | Andrews, Benjamin | |
| dc.date.accessioned | 2015-12-07T22:14:22Z | |
| dc.date.issued | 2010 | |
| dc.date.updated | 2015-12-07T07:28:07Z | |
| dc.description.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. | |
| dc.identifier.issn | 0944-2669 | |
| dc.identifier.uri | http://hdl.handle.net/1885/17393 | |
| dc.publisher | Springer | |
| dc.source | Calculus of Variations and Partial Differential Equations | |
| dc.title | Moving surfaces by non-concave curvature functions | |
| dc.type | Journal article | |
| local.bibliographicCitation.lastpage | 657 | |
| local.bibliographicCitation.startpage | 649 | |
| local.contributor.affiliation | Andrews, Benjamin, College of Physical and Mathematical Sciences, ANU | |
| local.contributor.authoremail | u8610103@anu.edu.au | |
| local.contributor.authoruid | Andrews, Benjamin, u8610103 | |
| local.description.embargo | 2037-12-31 | |
| local.description.notes | Imported from ARIES | |
| local.identifier.absfor | 010109 - Ordinary Differential Equations, Difference Equations and Dynamical Systems | |
| local.identifier.ariespublication | u5035478xPUB1 | |
| local.identifier.citationvolume | 39 | |
| local.identifier.doi | 10.1007/s00526-010-0329-z | |
| local.identifier.scopusID | 2-s2.0-77958011075 | |
| local.identifier.thomsonID | 000282824800017 | |
| local.identifier.uidSubmittedBy | u5035478 | |
| local.type.status | Published Version |
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