Calculus of Variations and Geometric Measure Theory

M. Langford - A. Mramor - L. Yudowitz

An Ancient Stacked Pancake Solution to Mean Curvature Flow

created by mramor on 15 Jan 2026

[BibTeX]

preprint

Inserted: 15 jan 2026

Year: 2025

ArXiv: 2509.26515 PDF

Abstract:

We construct an embedded ancient solution to the mean curvature flow which is qualitatively given by a ``stack'' of two ancient pancakes joined by a neck. Our solution is closed, non-convex, and contained in a slab.