https://nova.newcastle.edu.au/vital/access/ /manager/Index en-au 5 A Length-Constrained Ideal Curve Flow https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:47068 Tue 13 Dec 2022 16:07:37 AEDT ]]> Closed ideal planar curves https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:42568 L² sense. Given a smooth initial curve we show that the solution to the flow exists for all time and, provided the length of the evolving curve remains bounded, smoothly converges to a multiplycovered circle. Moreover, we show that curves in any homotopy class with initially small L³‖k₈‖²₂ enjoy a uniform length bound under the flow, yielding the convergence result in these cases.]]> Thu 25 Aug 2022 11:40:14 AEST ]]> An inhomogeneous Jarník type theorem for planar curves https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:33285 Fri 28 Sep 2018 15:47:19 AEST ]]>