Self-similar solutions to the curve shortening flow

Abstract

We give a classification of all self-similar solutions to the curve shortening flow in the plane.

25 pages, 19 figures, final version

Cited by in corpus (6)

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• A new energy method for shortening and straightening complete curves
• Translating solutions for a class of quasilinear parabolic initial boundary value problems in Lorentz-Minkowski plane ${\mathbb{R}}_1^2$
• Rigidity of complete self-shrinkers whose tangent planes omit a nonempty set