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Mean curvature flow closes open ends of noncompact surfaces of rotation

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Please use this identifier to cite or link to this item:http://doi.org/10.14943/84086

Title: Mean curvature flow closes open ends of noncompact surfaces of rotation
Authors: Giga, Yoshikazu Browse this author
Seki, Yukihiro Browse this author
Umeda, Noriaki Browse this author
Keywords: axisymmetric hypersurface
mean curvature flow
quenching
Issue Date: 20-Feb-2009
Journal Title: Hokkaido University Preprint Series in Mathematics
Volume: 938
Start Page: 1
End Page: 22
Abstract: We discuss the motion of noncompact axisymmetric hypersurfaces Tt volved by mean curvature flow. Our study provides a class of hypersurfaces hat share the same quenching time with that of the shrinking ylinder evolved by the flow and prove that they tend to a smooth hypersurface aving no pinching neck and having closed ends at infinity of the xis of rotation as the quenching time is approached. Moreover, they are ompletely characterized by a condition on initial hypersurface.
Type: bulletin (article)
URI: http://hdl.handle.net/2115/69746
Appears in Collections:理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics

Submitter: 数学紀要登録作業用

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