A note on expansion of convex plane curves via inverse curvature flow

DOI10.1007/s00030-019-0556-8zbMath1414.35121arXiv1406.3900OpenAlexW2963626964MaRDI QIDQ2418010

Heiko Kröner

Publication date: 31 May 2019

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.3900

zbMATH Keywords

maximum principleasymptotic behaviorgeometric flow of curves

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Applications of local differential geometry to the sciences (53B50) Quasilinear parabolic equations with mean curvature operator (35K93)

Related Items (2)

On an inverse curvature flow in two-dimensional space forms ⋮ On an area-preserving locally constrained inverse curvature flow of convex curves

Cites Work

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• Non-scale-invariant inverse curvature flows in Euclidean space
• Two-point functions and their applications in geometry
• Curvature bound for curve shortening flow via distance comparison and a direct proof of Grayson's theorem
• Bonnesen-Style Isoperimetric Inequalities
• The affine curve-lengthening flow

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