On an area-preserving inverse curvature flow of convex closed plane curves

DOI10.1016/j.jfa.2021.108931zbMath1458.53096OpenAlexW3122307206MaRDI QIDQ2227550

Laiyuan Gao, Dong-Ho Tsai, Shengliang Pan

Publication date: 15 February 2021

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2021.108931

zbMATH Keywords

convergenceexistenceinverse curvature flowarea-preserving

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Initial value problems for second-order parabolic equations (35K15) Flows related to mean curvature (53E10)

Related Items (11)

On a nonlocal contracting flow for closed convex plane curves ⋮ Volume preserving flows for convex curves and surfaces in the hyperbolic space ⋮ 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 ⋮ Nonlocal estimates for the volume preserving mean curvature flow and applications ⋮ A structure-preserving parametric finite element method for area-conserved generalized curvature flow ⋮ An anisotropic area-preserving flow and its geometric application ⋮ Two nonlocal inverse curvature flows of convex closed plane curves ⋮ An eternal curve flow in centro-affine geometry ⋮ On an area-preserving locally constrained inverse curvature flow of convex curves ⋮ The evolution of area-preserving and length-preserving inverse curvature flows for immersed locally convex closed plane curves

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