A sixth order curvature flow of plane curves with boundary conditions

DOI10.1007/978-3-030-04161-8_16zbMath1417.53003OpenAlexW2921610180MaRDI QIDQ2001228

Yuhan Wu, Glen Wheeler, James A. McCoy

Publication date: 2 July 2019

Full work available at URL: https://doi.org/10.1007/978-3-030-04161-8_16

zbMATH Keywords

medical imagingelastic flowfirst derivative of curvature

Mathematics Subject Classification ID

Curves in Euclidean and related spaces (53A04)

Related Items (6)

Curve-shortening of open elastic curves with repelling endpoints: a minimizing movements approach ⋮ Theory and numerics for Chen's flow of curves ⋮ Closed ideal planar curves ⋮ On a curvature flow model for embryonic epidermal wound healing ⋮ A survey of the elastic flow of curves and networks ⋮ Short time existence for higher order curvature flows with and without boundary conditions

Cites Work

• 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
• Convergence in gradient-like systems with applications to PDE
• 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
• Evolution of Elastic Curves in $\Rn$: Existence and Computation
• Unnamed Item

This page was built for publication: A sixth order curvature flow of plane curves with boundary conditions