On a non-local area-preserving curvature flow in the plane

DOI10.1007/S12188-021-00249-9zbMath1479.35527OpenAlexW3204783565MaRDI QIDQ2058454

Zezhen Sun

Publication date: 9 December 2021

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12188-021-00249-9

zbMATH Keywords

convergenceexistenceclosed convex plane curvesnonlocal area-preserving flow

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Curves in Euclidean and related spaces (53A04) Geometric evolution equations (53E99)

Related Items (1)

Applications of curve flows to inequalities on plane curves

Cites Work

• Unnamed Item
• Geometric expansion of convex plane curves
• A non-local area preserving curve flow
• Curve shortening makes convex curves circular
• On a non-local perimeter-preserving curve evolution problem for convex plane curves
• The heat equation shrinking convex plane curves
• Evolving convex curves
• Asymptotic closeness to limiting shapes for expanding embedded plane curves
• ON A CURVE EXPANDING FLOW WITH A NON-LOCAL TERM
• Curve shortening on surfaces
• Bonnesen-Style Isoperimetric Inequalities

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