Deforming convex curves with constant anisotropic length

2023/11/03 by Sun, Zezhen
#35B40 #35K15 #35K55 #53E10 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2311.01763

Abstract

In this paper, we study a curve flow which preserves the anisotropic length of the evolving curve, and show that for any convex closed initial curve, the flow exists for all time and the evolving curve converges to a homothety of the boundary of some Wulff shape defined by anisotropic function as time t→∞.

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