The area preserving curve shortening flow with Neumann free boundary conditions
classification
🧮 math.AP
keywords
curveareaconditionsflowboundarydomainfreeinitial
read the original abstract
We study the area preserving curve shortening flow with Neumann free boundary conditions outside of a convex domain in the Euclidean plane. Under certain conditions on the initial curve the flow does not develop any singularity, and it subconverges smoothly to an arc of a circle sitting outside of the given fixed domain and enclosing the same area as the initial curve.
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