On flows that preserve parallel curves and their formation of singularities

DOI10.1007/s00028-017-0402-6zbMath1396.53092OpenAlexW2624937359MaRDI QIDQ1670247

Dong-Ho Tsai

Publication date: 5 September 2018

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

Full work available at URL: https://doi.org/10.1007/s00028-017-0402-6

zbMATH Keywords

support functionsisoperimetric deficitconvex closed plane curves

Mathematics Subject Classification ID

Related Items (3)

On a length-preserving inverse curvature flow of convex closed plane curves ⋮ Nonlocal flow driven by the radius of curvature with fixed curvature integral ⋮ On an area-preserving inverse curvature flow of convex closed plane curves

Cites Work

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• Evolving a convex closed curve to another one via a length-preserving linear flow
• The heat equation shrinking convex plane curves
• Evolving convex curves
• Steiner polynomials, Wulff flows, and some new isoperimetric inequalities for convex plane curves
• Non-convergence and instability in the asymptotic behaviour of curves evolving by curvature
• Blowup behavior of an equation arising from plane-curves expansion.

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