Nonplanar ancient curve shortening flows in ℝ³ from grim reapers

2022/01/06 by Theodora Bourni, Bourni, Theodora, Alexander Mramor +1
Mathematics · #Geometric Analysis and Curvature Flows #Mathematical Dynamics and Fractals #Navier-Stokes equation solutions

paper · pdf · doi:10.48550/arxiv.2201.02134

Abstract

In this note we construct new nonplanar ancient (in fact, eternal) solutions to the curve shortening flow in ℝ³, built out of translating grim reapers laying in perpendicular planes.

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