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Hokkaido University Preprint Series in Mathematics >
On decay rate of quenching profile at space infinity for axisymmetric mean curvature flow
| 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 |
| Publisher: | Department of Mathematics, Hokkaido University |
| 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
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Submitter: 数学紀要登録作業用
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