Area-preserving evolution of nonsimple symmetric plane curves

DOI10.1007/s00028-014-0219-5zbMath1292.53045OpenAlexW2083101486MaRDI QIDQ2249904

Linghua Kong, Xiao-Liu Wang

Publication date: 4 July 2014

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

Full work available at URL: https://doi.org/10.1007/s00028-014-0219-5

zbMATH Keywords

mean curvature flowasymptotic behaviornonlocal parabolic equation

Mathematics Subject Classification ID

Related Items (10)

Singularities of the area preserving curve shortening flow with a free boundary condition ⋮ Length-preserving evolution of immersed closed curves and the isoperimetric inequality ⋮ Asymptotic analysis for non-local curvature flows for plane curves with a general rotation number ⋮ Curvature bound for a curve flow with a prescribed rate of change in enclosed area ⋮ Global stability of traveling waves for an area preserving curvature flow with contact angle condition ⋮ Snapshots of non-local constrained mean curvature-type flows ⋮ An anisotropic area-preserving flow and its geometric application ⋮ The Evolution of Nonlocal Curvature Flow Arising in a Hele--Shaw Problem ⋮ On the isoperimetric inequality and surface diffusion flow for multiply winding curves ⋮ On an area-preserving inverse curvature flow of convex closed plane curves

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