publications
publications by categories in reversed chronological order. generated by jekyll-scholar.
2024
- Curve diffusion and straightening flows on parallel linesCommunications in Analysis and Geometry, 2024
- The gradient flow for entropy on closed planar curvesArchive for Rational Mechanics and Analysis, 2024
- Uniqueness and minimality of Euler’s elastica with monotone curvaturearXiv preprint arXiv:2402.12771, 2024
- A simple but effective bushfire model: analysis and real-time simulationsSIAM Journal on Applied Mathematics, 2024
- Existence theory for a bushfire equationarXiv preprint arXiv:2402.15762, 2024
- The free elastic flow for closed planar curvesarXiv preprint arXiv:2404.12619, 2024
- Complete classification of solitons for the surface diffusion flow of entire graphsarXiv preprint arXiv:2407.13250, 2024
2023
- Analysis of the inhomogeneous Willmore equationAnnales de l’Institut Henri Poincaré C, 2023
- Theory and numerics for Chen’s flow of curvesJournal of Differential Equations, 2023
- On the H^1(ds^γ)-Gradient Flow for the Length FunctionalThe Journal of geometric analysis, 2023
- The p-elastic flow for planar closed curves with constant parametrizationJournal de Mathématiques Pures et Appliquées, 2023
- Convergence of Solutions to a Convective Cahn–Hilliard-Type Equation of the Sixth Order in Case of Small Deposition RatesSIAM Journal on Mathematical Analysis, 2023
- Representation formulae for higher order curvature flowsJournal of Differential Equations, 2023
- Resourcing and recognition: Academics’ perceptions of challenges experienced embedding work-integrated learning in the curriculumInternational Journal on Work Integrated Learning, 2023
- A Sobolev gradient flow for the area-normalised Dirichlet energy of H^1 mapsarXiv preprint arXiv:2310.05459, 2023
2022
- High order curvature flows of plane curves with generalised Neumann boundary conditionsAdvances in Calculus of Variations, 2022
- A Length-Constrained Ideal Curve FlowThe Quarterly Journal of Mathematics, 2022
- On an inverse curvature flow in two-dimensional space formsMathematische Annalen, 2022
2021
- Convergence for global curve diffusion flowsMathematics In Engineering, 2021
2020
- Mean curvature flow with free boundary–Type 2 singularitiesMathematische Nachrichten, 2020
- A sixth order flow of plane curves with boundary conditionsTohoku Mathematical Journal, 2020
- Closed ideal planar curvesGeometry & Topology, 2020
- A gradient flow for the p-elastic energy defined on closed planar curvesMathematische Annalen, 2020
- A rigidity theorem for ideal surfaces with flat boundaryAnnals of Global Analysis and Geometry, 2020
2019
- Minimal hypersurfaces in the ball with free boundaryDifferential Geometry and its Applications, 2019
- Concentration-Compactness and Finite-Time Singularities for Chen’s FlowJ. Math. Sci. Univ. Tokyo, 2019
- The anisotropic polyharmonic curve flow for closed plane curvesCalculus of Variations and Partial Differential Equations, 2019
- A mixed finite element method for a sixth-order elliptic problemIMA Journal of Numerical Analysis, 2019
- On a curvature flow model for embryonic epidermal wound healingNonlinear Analysis, 2019
- A sixth order curvature flow of plane curves with boundary conditions2017 MATRIX Annals, 2019
- Evolution of closed curves by length-constrained curve diffusionProceedings of the American Mathematical Society, 2019
2018
- Rigidity and stability of spheres in the Helfrich modelInterfaces and Free Boundaries, 2018
2017
- Mean curvature flow with free boundary outside a hypersphereTransactions of the American Mathematical Society, 2017
- Curvature contraction of convex hypersurfaces by nonsmooth speedsJournal für die reine und angewandte Mathematik (Crelles Journal), 2017
- The geometric triharmonic heat flow of immersed surfaces near spheresNonlinear Analysis, 2017
2016
- Some local estimates and a uniqueness result for the entire biharmonic heat equationAdvances in Calculus of Variations, 2016
- The shrinking figure eight and other solitons for the curve diffusion flowThe Mechanics of Ribbons and Möbius Bands, 2016
- Solitons for the inverse mean curvature flowPacific Journal of Mathematics, 2016
- The polyharmonic heat flow of closed plane curvesJournal of Mathematical Analysis and Applications, 2016
- Finite time singularities for the locally constrained Willmore flow of surfacesCommunications in Analysis and Geometry, 2016
2015
- Global analysis of the generalised Helfrich flow of closed curves immersed in \mathbbR^nTransactions of the American Mathematical Society, 2015
- Gap phenomena for a class of fourth-order geometric differential operators on surfaces with boundaryProceedings of the American Mathematical Society, 2015
- Modelling dynamic bushfire spread: perspectives from the theory of curvature flowIn MODSIM2015, 21st International Congress on Modelling and Simulation, 2015
2013
- A classification theorem for Helfrich surfacesMathematische Annalen, 2013
- Unstable Willmore surfaces of revolution subject to natural boundary conditionsCalculus of Variations and Partial Differential Equations, 2013
- Chen’s conjecture and \varepsilon-superbiharmonic submanifolds of Riemannian manifoldsInternational Journal of Mathematics, 2013
- Curvature flows and barriers in fire front modellingMODSIM, 2013
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2012
- Surface diffusion flow near spheresCalculus of Variations and Partial Differential Equations, 2012
- On the curve diffusion flow of closed plane curvesAnnali di Matematica Pura ed Applicata, 2012
2011
- Lifespan theorem for simple constrained surface diffusion flowsJournal of mathematical analysis and applications, 2011
- Lifespan theorem for constrained surface diffusion flowsMathematische Zeitschrift, 2011
2010
- Fourth order geometric evolution equationsBulletin of the Australian Mathematical Society, 2010
2008
- On binary reflected Gray codes and functionsDiscrete Mathematics, 2008
- Shi’s local estimatesOberwolfach Reports, 2008
2005
- Weighted segmented digital watermarkingIn Digital Watermarking: Third International Workshop, IWDW 2004, Seoul, South Korea, October 30-November 1, 2004, Revised Selected Papers 3, 2005