On a limiting motion and self-interactions of curves moved by the intermediate surface diffusion flow


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Please use this identifier to cite or link to this item:https://doi.org/10.14943/83645

Title:	On a limiting motion and self-interactions of curves moved by the intermediate surface diffusion flow
Authors:	Escher, J. Browse this author
	Giga, Y. Browse this author
	Ito, K. Browse this author
Issue Date:	1-Nov-2000
Publisher:	Department of Mathematics, Hokkaido University
Journal Title:	Hokkaido University Preprint Series in Mathematics
Volume:	499
Start Page:	1
End Page:	12
Abstract:	We give a rigorous proof that the solution curve of the intermediate surface diffusion fl.ow equation converges to that 􀀗f the averaged curvature fl.ow equation locally in time as the diffusion coefficient D goes to infinity. As an application of this convergence result, we also prove that a self-intersection of curves can be developed by the intermediate surface diffusion fl.ow for any positive D.
Type:	bulletin (article)
URI:	http://hdl.handle.net/2115/69249
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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