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Non-Convergence and instability in the asymptotic behaviour of curves evolving by curvature

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dc.contributor.authorAndrews, Benjamin
dc.date.accessioned2015-12-13T22:23:16Z
dc.date.available2015-12-13T22:23:16Z
dc.date.issued2002
dc.date.updated2015-12-11T08:04:16Z
dc.description.abstractWe consider curvature-driven evolution equations for curves in the plane, and prove that the isoperimetric ratios of the evolving curves generically approach infinity if the speed of motion is proportional to curvature to a power less than 1/3.
dc.identifier.issn1019-8385
dc.identifier.urihttp://hdl.handle.net/1885/72695
dc.publisherInternational Press
dc.sourceCommunications in Analysis and Geometry
dc.titleNon-Convergence and instability in the asymptotic behaviour of curves evolving by curvature
dc.typeJournal article
local.bibliographicCitation.lastpage449
local.bibliographicCitation.startpage409
local.contributor.affiliationAndrews, Benjamin, College of Physical and Mathematical Sciences, ANU
local.contributor.authoruidAndrews, Benjamin, u8610103
local.description.notesImported from ARIES
local.description.refereedYes
local.identifier.absfor010102 - Algebraic and Differential Geometry
local.identifier.ariespublicationMigratedxPub3384
local.identifier.citationvolume10
local.identifier.scopusID2-s2.0-0012895069
local.type.statusPublished Version

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