Expanding selfsimilar solutions of a crystalline flow with applications to contour figure analysis


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Please use this identifier to cite or link to this item:https://doi.org/10.14943/83780

Title:	Expanding selfsimilar solutions of a crystalline flow with applications to contour figure analysis
Authors:	Hontani, Hidetaka Browse this author
	Giga, Miho Browse this author
	Giga, Yoshikazu Browse this author
	Deguchi, Koichiro Browse this author
Keywords:	crystalline flow
	selfsimilar solutions
	evolving polygon
	multi-scale analysis
Issue Date:	2003
Publisher:	Department of Mathematics, Hokkaido University
Journal Title:	Hokkaido University Preprint Series in Mathematics
Volume:	626
Start Page:	2
End Page:	21
Abstract:	A numerical method for obtaining a crystalline flow starting from a general polygon is presented. A crystalline flow is a polygonal flow and can be regarded as a discrete version of a classical curvature flow. In some cases, new facets may be created instantaneously and their facet lengths are governed by a system of singular ordinary differential equations(ODEs). The proposed method solves the system of the ODEs numerically by using expanding selfsimilar solutions for newly created facets. The computation method is applied to a multi-scale analysis of a contour figure.
Type:	bulletin (article)
URI:	http://hdl.handle.net/2115/69434
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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