Year: 2026
Type: preprint
Abstract: We consider evolution of piecewise linear curves with boundary by linear hyperbolic curvature flows. Given appropriate boundary behaviours we find corresponding self-similar solutions. More generally, given any specific boundary trajectories we write down general solutions using finite Fourier expansions. Finally we consider the problem of evolving one piecewise linear curve to another using nonhomogeneous linear hyperbolic flow.
Source: arXiv (Cornell University)
Authors: McCoy, James, Hill, Rohan St
Institution: RMIT University
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Funder: Chinese Academy of Sciences
Award: G1235364095
OpenAlex ID: W7203908702
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