An Ancient Stacked Pancake Solution to Mean Curvature Flow

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.

Publication Details

Journal
ArXiv.org
Published
2025-09-30
Primary Topic
Geochemistry and Geologic Mapping
Type
article
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article

An Ancient Stacked Pancake Solution to Mean Curvature Flow

ArXiv.org
Geochemistry and Geologic Mapping
article

An Ancient Stacked Pancake Solution to Mean Curvature Flow

article en

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.

ArXiv.org
Openalex Percentile: Top 24%
Geochemistry and Geologic Mapping
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An Ancient Stacked Pancake Solution to Mean Curvature Flow · ArXiv.org (2025) | TGRS Research Map | TGRS