Grim Raindrop: A Translating Solution to Curve Diffusion Flow
Differential Geometry
2024-12-23 v1 Analysis of PDEs
Abstract
We show the existence of a properly immersed translating solution to curve diffusion flow in the plane. Curve diffusion flow is a higher order version of curve shortening flow, namely
Cite
@article{arxiv.2412.15934,
title = {Grim Raindrop: A Translating Solution to Curve Diffusion Flow},
author = {W. Jacob Ogden and Micah Warren},
journal= {arXiv preprint arXiv:2412.15934},
year = {2024}
}