Uniqueness and existence of generalized motion for spiral crystal growth


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Please use this identifier to cite or link to this item:https://doi.org/10.14943/84022

Title:	Uniqueness and existence of generalized motion for spiral crystal growth
Authors:	GOTO, Shun'ichi Browse this author
	NAKAGAWA, Maki Browse this author
	OHTSUKA, Takeshi Browse this author
Keywords:	level set method viscosity solution mean curvature flow
Issue Date:	2007
Publisher:	Department of Mathematics, Hokkaido University
Journal Title:	Hokkaido University Preprint Series in Mathematics
Volume:	872
Start Page:	1
End Page:	22
Abstract:	The uniqueness and existence of generalized solutions of `spiral curves' for the mean curvature flow with driving force is studied by an adapted level set formulation. It is shown that the curves which are given by the level set formulation are unique with respect to initial spiral curves. For given spiral curves the method of a construction of an initial datum of a level set equation is also obtained by constructing a branch of the arguments from the centers of spiral curves, which has discontinuity at the given spiral curves.
Type:	bulletin (article)
URI:	http://hdl.handle.net/2115/69681
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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