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Hokkaido University Preprint Series in Mathematics >
THE MOTION OF ELASTIC PLANAR CLOSED CURVES UNDER THE AREA-PRESERVING CONDITION
| Title: | THE MOTION OF ELASTIC PLANAR CLOSED CURVES UNDER THE AREA-PRESERVING CONDITION |
| Authors: | Okabe, Shinya Browse this author |
| Keywords: | elastic energy | | gradient °ow with two constraints | | isoperimetric inequality |
| Issue Date: | 2006 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 812 |
| Start Page: | 1 |
| End Page: | 31 |
| Abstract: | We consider the motion of an elastic closed curve with constant enclosed area. This motion is governed by a system involving fourth order parabolic equations. We shall prove that this system has a unique classical solution for all time and the solution converges uniformly to a stationary solution together with its derivatives of any order. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69620 |
| 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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