AN AREA-PRESERVING FLOW FOR CLOSED CONVEX PLANE CURVES

DOI10.1142/S0129167X13500298zbMath1272.35113OpenAlexW2035120621MaRDI QIDQ5300018

Yi-Ling Wang, Shengliang Pan, Yueyue Mao

Publication date: 24 June 2013

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x13500298

zbMATH Keywords

convergence to a circleconvexity preservationcurve evolutioncurve shortening

Mathematics Subject Classification ID

Related Items (18)

On a nonlocal contracting flow for closed convex plane curves ⋮ On a logarithmic type nonlocal plane curve flow ⋮ A family of evolution equations connecting area-preserving to length-preserving curve flows ⋮ A quasilinear parabolic problem with a source term and a nonlocal absorption ⋮ Length-preserving evolution of immersed closed curves and the isoperimetric inequality ⋮ Evolving convex curves to constant \(k\)-order width ones by a perimeter-preserving flow ⋮ The evolution of immersed locally convex plane curves driven by anisotropic curvature flow ⋮ Nonlocal flow driven by the radius of curvature with fixed curvature integral ⋮ The evolution of gradient flow minimizing the anisoperimetric ratio of convex plane curves ⋮ Linear interpolation on \(k^{\alpha }\)-type area-preserving and length-preserving curve flows ⋮ Anisotropic area-preserving nonlocal flow for closed convex plane curves ⋮ An anisotropic area-preserving flow and its geometric application ⋮ Two nonlocal inverse curvature flows of convex closed plane curves ⋮ An anisotropic area-preserving flow for convex plane curves ⋮ A non-local expanding flow of convex closed curves in the plane ⋮ On length-preserving and area-preserving nonlocal flow of convex closed plane curves ⋮ The evolution of area-preserving and length-preserving inverse curvature flows for immersed locally convex closed plane curves ⋮ Deforming convex curves with fixed elastic energy

Cites Work

• On a length preserving curve flow
• On a non-local perimeter-preserving curve evolution problem for convex plane curves
• Volume-preserving mean curvature flow of rotationally symmetric surfaces
• Application of Andrews and Green-Osher inequalities to nonlocal flow of convex plane curves
• The surface area preserving mean curvature flow
• Mixed volume preserving curvature flows
• A Singular Example for the Averaged Mean Curvature Flow
• The volume preserving mean curvature flow near spheres
• On a planar area-preserving curvature flow

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