Mean curvature flow closes open ends of noncompact surfaces of rotation

Yoshikazu Giga, Yukihiro Seki, Noriaki Umeda

研究成果: ジャーナルへの寄稿学術誌査読

6 被引用数 (Scopus)

抄録

We discuss the motion of noncompact axisymmetric hypersurfaces Γt evolved by mean curvature flow. Our study provides a class of hypersurfaces that share the same quenching time with the shrinking cylinder evolved by the flow and prove that they tend to a smooth hypersurface having no pinching neck and having closed ends at infinity of the axis of rotation as the quenching time is approached. Moreover, they are completely characterized by a condition on initial hypersurface.

本文言語英語
ページ(範囲)1508-1529
ページ数22
ジャーナルCommunications in Partial Differential Equations
34
11
DOI
出版ステータス出版済み - 2009
外部発表はい

!!!All Science Journal Classification (ASJC) codes

  • 分析
  • 応用数学

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