Short time existence for higher order curvature flows with and without boundary conditions

DOI10.1007/978-3-030-62497-2_61zbMath1489.53134OpenAlexW3129332088MaRDI QIDQ2058988

Yuhan Wu

Publication date: 10 December 2021

Full work available at URL: https://doi.org/10.1007/978-3-030-62497-2_61

zbMATH Keywords

plane curvesshort-time existencegeneralised Neumann boundary condition

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Higher-order geometric flows (53E40)

Related Items (1)

Curvature diffusion of planar curves with generalised Neumann boundary conditions inside cones

Cites Work

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• On the curve diffusion flow of closed plane curves
• Regularity estimates for solutions to the mean curvature flow with a Neumann boundary condition
• A sixth order curvature flow of plane curves with boundary conditions
• FOURTH ORDER GEOMETRIC EVOLUTION EQUATIONS
• Short time existence for the elastic flow of clamped curves
• Evolution of closed curves by length-constrained curve diffusion

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