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math.DG2026
Homogeneous Sobolev gradient flow of the length functional
Philip Schrader, Glen Wheeler, Valentina Wheeler
The well-known curve shortening flow can be formulated as the gradient flow of the length functional on the space of immersed closed planar curves, where the gradient is taken with…
math.DG2024
A curvature flow that deforms curves to an embedded target
Samuel Cuthbertson, Glen Wheeler, Valentina Wheeler
In this paper we introduce the target flow -- a specific curve shortening flow with an ambient forcing term -- that, given an embedded (not necessarily convex) target curve, will a…