High order curvature flows of plane curves with generalised Neumann boundary conditions

DOI10.1515/acv-2020-0002zbMath1504.53109arXiv2001.06140OpenAlexW3127336057MaRDI QIDQ2156036

Glen Wheeler, Yuhan Wu, James A. McCoy

Publication date: 15 July 2022

Published in: Advances in Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.06140

zbMATH Keywords

Neumann boundary conditioncurvature flowhigh-order parabolic equation

Mathematics Subject Classification ID

Higher-order parabolic equations (35K25) Higher-order geometric flows (53E40)

Related Items (2)

Curvature diffusion of planar curves with generalised Neumann boundary conditions inside cones ⋮ Representation formulae for higher order curvature flows

Cites Work

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• The polyharmonic heat flow of closed plane curves
• On the curve diffusion flow of closed plane curves
• \(L^2\)-flow of elastic curves with clamped boundary conditions
• A Willmore-Helfrich \(L^2\)-flow of curves with natural boundary conditions
• The anisotropic polyharmonic curve flow for closed plane curves
• A sixth order flow of plane curves with boundary conditions
• Evolution of open elastic curves in \(\mathbb{R}^n\) subject to fixed length and natural boundary conditions
• The shrinking figure eight and other solitons for the curve diffusion flow
• The geometric triharmonic heat flow of immersed surfaces near spheres
• Evolution of Elastic Curves in $\Rn$: Existence and Computation

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