2 papers
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…
math.AP2024
Curve shortening flow with an ambient force field
Sam Cuthbertson, Glen Wheeler, Valentina-Mira Wheeler
In this paper we consider the anisotropic curve shortening flow in the plane in the presence of an ambient force. We consider force fields in which all their derivatives are bounde…