Ancient mean curvature flows that approach the Simons cone from one side have unique asymptotics; with mean convexity they are stationary leaves of the Hardt-Simon foliation.
Uniqueness of two-convex closed ancient solutions to the mean curvature flow
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Ancient mean curvature flow asymptotic to Simons cone
Ancient mean curvature flows that approach the Simons cone from one side have unique asymptotics; with mean convexity they are stationary leaves of the Hardt-Simon foliation.