Uniqueness and existence of generalized motion for spiral crystal growth

GOTO, Shun'ichi; NAKAGAWA, Maki; OHTSUKA, Takeshi

Hokkaido University Preprint Series in Mathematics, 2007, 872, 1-22

Permalink : https://doi.org/10.14943/84022

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アクセス権	open access
DOI	https://doi.org/10.14943/84022
URI	https://hdl.handle.net/2115/69681
タイトル	Uniqueness and existence of generalized motion for spiral crystal growth
著者	GOTO, Shun'ichi ; NAKAGAWA, Maki ; OHTSUKA, Takeshi
著者名 GOTO, Shun'ichi
著者名 NAKAGAWA, Maki
著者名 OHTSUKA, Takeshi
言語	英語
キーワード	level set method viscosity solution mean curvature flow
発行日	2007
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	872
ページ	1-22
抄録	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.
資源タイプ	紀要論文
出版タイプ	Version of Record