Dynamical stability of various convex graphical translators
Differential Geometry
2026-02-10 v2 Analysis of PDEs
Abstract
In the first part of the paper, we prove the existence of longtime solution to mean curvature flow starting from a graph of a continuous function defined over a slab. Then, we establish dynamical stability results for various types of graphical translators to mean curvature flow, namely the grim reaper, two dimensional graphical translators, and asymptotically cylindrical translators.
Cite
@article{arxiv.2601.22368,
title = {Dynamical stability of various convex graphical translators},
author = {Junyoung Park},
journal= {arXiv preprint arXiv:2601.22368},
year = {2026}
}
Comments
Comments welcome. Added a corollary imposing an entropy bound assumption instead of mean convexity in asymptotically cylindrical case