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math.CA2025
Linear Semi-discrete Polyharmonic Flows of Closed Polygons
James McCoy, Jahne Meyer
In 2007, Chow and Glickenstein considered a linear semi-discrete analogue of the second-order curve shortening flow for smooth closed curves. In this article, we consider linear se…
math.CA2025
Semi-discrete linear hyperbolic polyharmonic flows of closed polygons
James McCoy, Jahne Meyer
We consider the damped hyperbolic motion of polygons by a linear semi-discrete analogue of polyharmonic curve diffusion. We show that such flows may transition any polygon to any o…