Interpolation inequalities between the deviation of curvature and the isoperimetric ratio with applications to geometric flows

zbMath1442.53004arXiv1811.10164MaRDI QIDQ2178056

Kohei Nakamura, Takeyuki Nagasawa

Publication date: 7 May 2020

Published in: Advances in Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.10164

zbMATH Keywords

curvatureplane curvegeometric flowinterpolation inequality

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Curves in Euclidean and related spaces (53A04)

Related Items (4)

An application of interpolation inequalities between the deviation of curvature and the isoperimetric ratio to the length-preserving flow ⋮ Asymptotic analysis for non-local curvature flows for plane curves with a general rotation number ⋮ Convergence for global curve diffusion flows ⋮ Global stability of traveling waves for an area preserving curvature flow with contact angle condition

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