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arXiv · 2601.22368

Dynamical stability of various convex graphical translators

Junyoung Park
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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.

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Junyoung Park. 2026-01-29. Dynamical stability of various convex graphical translators. https://arxiv.org/abs/2601.22368

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