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On decay rate of quenching profile at space infinity for axisymmetric mean curvature flow

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Please use this identifier to cite or link to this item:http://doi.org/10.14943/84092

Title: On decay rate of quenching profile at space infinity for axisymmetric mean curvature flow
Authors: Giga, Yoshikazu Browse this author
Seki, Yukihiro Browse this author
Umeda, Noriaki Browse this author
Keywords: at space infinity
axisymmetric mean curvature flow equation
quenching profile
decay rate
Issue Date: 10-Sep-2009
Journal Title: Hokkaido University Preprint Series in Mathematics
Volume: 945
Start Page: 1
End Page: 11
Abstract: We study the motion of noncompact hypersurfaces moved by their ean curvature obtained by a rotation around x-axis of the graph function y = u(x, t) (defined for all x 2 R). We are interested o estimate its profile when the hypersurface closes open ends at the uenching (pinching) time T. We estimate its profile at the quenching ime from above and below. We in particular prove that u(x, T) » xj¡a as jxj ! 1 if u(x, 0) tends to its infimum with algebraic rate xj¡2a (as jxj ! 1 with a > 0).
Type: bulletin (article)
URI: http://hdl.handle.net/2115/69752
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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