An anisotropic area-preserving flow for convex plane curves

DOI10.1016/j.jde.2018.09.011zbMath1406.53074OpenAlexW2893839757MaRDI QIDQ1710555

Yunlong Yang, Shengliang Pan

Publication date: 22 January 2019

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2018.09.011

zbMATH Keywords

convex curvesarea-preserving flowanisotropic curve flow

Mathematics Subject Classification ID

Related Items (3)

The evolution of gradient flow minimizing the anisoperimetric ratio of convex plane curves ⋮ Anisotropic area-preserving nonlocal flow for closed convex plane curves ⋮ On a class of generalized curve flows for planar convex curves

Cites Work

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• Multiphase thermomechanics with interfacial structure. I: Heat conduction and the capillary balance law
• Multiphase thermomechanics with interfacial structure. II: Evolution of an isothermal interface
• Evolving a convex closed curve to another one via a length-preserving linear flow
• The heat equation shrinking convex plane curves
• The heat equation shrinks embedded plane curves to round points
• Toward a nonequilibrium thermodynamics of two-phase materials
• Evolving plane curves by curvature in relative geometries
• Evolving plane curves by curvature in relative geometries. II
• Selfsimilar shrinking curves for anisotropic curvature flow equations
• Motion of hypersurfaces by Gauss curvature
• Steiner polynomials, Wulff flows, and some new isoperimetric inequalities for convex plane curves
• A flow approach to the fractional Minkowski problem
• Existence of selfsimilar shrinking curves for anisotropic curvature flow equations
• A flow approach to the \(L_{-2}\) Minkowski problem
• Anisotropic flows for convex plane curves
• Inverse anisotropic mean curvature flow and a Minkowski type inequality
• Inverse anisotropic curvature flow from convex hypersurfaces
• Non-uniqueness of self-similar shrinking curves for an anisotropic curvature flow
• Centro–affine curvature flows on centrally symmetric convex curves
• The affine curve-lengthening flow
• A convexity theorem for a class of anisotropic flows of plane curves
• On the affine heat equation for non-convex curves
• Volume preserving anisotropic mean curvature flow
• On a planar area-preserving curvature flow
• AN AREA-PRESERVING FLOW FOR CLOSED CONVEX PLANE CURVES

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