https://neckpinch.com/authors/jiuru-zhou/New arXiv papers by Jiuru Zhou, from Neckpinch Tue, 10 Nov 2026 04:10:28 GMT https://neckpinch.com/papers/1812.04926/arxiv:1812.04926Wed, 12 Dec 2018 00:00:00 GMTPeng Lu, Jiuru Zhou — We construct the ancient solutions of the hypersurface flows in Euclidean spaces studied by B. Andrews in 1994. As time t → 0⁻ the solutions collapse to a round point where 0 is the singular time. But as t→-∞ the solutions become more and more oval. Near the center the appropriately-rescaled pointed Cheeger-Gromov limits are round cylinder solutions S^J × ℝ^(n-J), 1 ≤ J ≤ n-1. These results are the analog of the corresponding results in Ricci flow (J=n-1) and mean curvature flow.Ricci flowMean curvature flowAncient solutions