Length-preserving evolution of immersed closed curves and the isoperimetric inequality

DOI10.2140/PJM.2017.290.467OpenAlexW2741083726MaRDI QIDQ2398630

Xiaoli Chao, Hui-Ling Li, Xiao-Liu Wang

Publication date: 18 August 2017

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

Full work available at URL: https://doi.org/10.2140/pjm.2017.290.467

zbMATH Keywords

convergenceisoperimetric inequalityblow-upcurvature flownonlocal

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Quasilinear parabolic equations (35K59)

Related Items (3)

Finite-time blow-up and global convergence of solutions to a nonlocal parabolic equation with conserved spatial integral ⋮ On the isoperimetric inequality and surface diffusion flow for multiply winding curves ⋮ Evolving compact locally convex curves and convex hypersurfaces

Cites Work

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• Some dynamic properties of volume preserving curvature driven flows
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• The isoperimetric inequality
• AN AREA-PRESERVING FLOW FOR CLOSED CONVEX PLANE CURVES
• Volume-preserving mean curvature flow of hypersurfaces in space forms
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