Loss of convexity of simple closed curves moved by surface diffusion


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Please use this identifier to cite or link to this item:https://doi.org/10.14943/83555

Title:	Loss of convexity of simple closed curves moved by surface diffusion
Authors:	Giga, Y. Browse this author
Authors:	Ito, K. Browse this author
Keywords:	convexity
	surface diffusion
	evolving curves
	unique local existence
Issue Date:	1-May-1998
Publisher:	Department of Mathematics, Hokkaido University
Journal Title:	Hokkaido University Preprint Series in Mathematics
Volume:	409
Start Page:	1
End Page:	16
Abstract:	We rigorously prove that there exists a simple, strictly convex, smooth closed curve which loses convexity but stays simple without developing singularities when it moves by its surface diffusion for a short time.
Type:	bulletin (article)
URI:	http://hdl.handle.net/2115/69159
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

OAI-PMH ( junii2 , jpcoar_1.0 )

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