Cylindrical tangent flows in mean curvature flow

The only non-compact linearly stable singularity models for mean curvature flow are cylindrical by Colding-Minicozzi. The uniqueness of blowups at singularities modeled on the cylinders has been established by the same authors. In this paper, we will use a different approach inspired by Székelyhidi to prove the uniqueness result.

Publication Details

Journal
ArXiv.org
Published
2025-08-07
Primary Topic
Nonlinear Partial Differential Equations
Type
article
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article

Cylindrical tangent flows in mean curvature flow

ArXiv.org
Nonlinear Partial Differential Equations
article

Cylindrical tangent flows in mean curvature flow

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Abstract

The only non-compact linearly stable singularity models for mean curvature flow are cylindrical by Colding-Minicozzi. The uniqueness of blowups at singularities modeled on the cylinders has been established by the same authors. In this paper, we will use a different approach inspired by Székelyhidi to prove the uniqueness result.

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Nonlinear Partial Differential Equations
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Cylindrical tangent flows in mean curvature flow · ArXiv.org (2025) | TGRS Research Map | TGRS