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Asymptotic behavior and stability of mean curvature flow with a conical end
Advances in Mathematics ( IF 1.7 ) Pub Date : 2020-12-01 , DOI: 10.1016/j.aim.2020.107408
Siao-Hao Guo

If the initial hypersurface of an immortal mean curvature flow is asymptotic to a regular cone whose entropy is small, the flow will become asymptotically self-expanding. Moreover, the expander that gives rise to the limiting flow is asymptotically stable as an equilibrium solution of the normalized mean curvature flow.

中文翻译:

圆锥端平均曲率流的渐近行为和稳定性

如果一个永生平均曲率流的初始超曲面渐近于一个熵很小的正圆锥,则该流将变得渐近自膨胀。此外,产生限制流的膨胀器作为归一化平均曲率流的平衡解是渐近稳定的。
更新日期:2020-12-01
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