Precise asymptotics near a generic ${\mathbb{S}}^1\times {\mathbb{R}}^3$ singularity of mean curvature flow

Abstract

In the present paper we study a type of generic singularity of mean curvature flow modelled on the bubble-sheet ${\mathbb{S}}^1\times {\mathbb{R}}^3$ , and we derive an asymptotic profile for a neighborhood of singularity.

12 pages, revised according to referee's suggestions