Spiral solutions for a weakly anisotropic curvature flow equation

Giga, Y.; Ishimura, N.; Kohsaka, Y.

Hokkaido University Preprint Series in Mathematics, 2001, 529, 1-16

Permalink : https://doi.org/10.14943/83675

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アクセス権	open access
DOI	https://doi.org/10.14943/83675
URI	https://hdl.handle.net/2115/69279
タイトル	Spiral solutions for a weakly anisotropic curvature flow equation
著者	Giga, Y. ; Ishimura, N. ; Kohsaka, Y.
著者名 Giga, Y.
著者名 Ishimura, N.
著者名 Kohsaka, Y.
言語	英語
発行日	2001-06
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	529
ページ	1-16
抄録	The presence of steps associated with screw dislocations plays a key role for the growth of crystal surfaces. In geometric model the motion of curves describing location of steps is governed by curvature flow equations with a driving force term. We show the existence of spiral-shaped solutions for such an equation when anisotropic effect is small. Such a spiral-shaped solution is ahown to be stable and unique up to translation of the time.
資源タイプ	紀要論文
出版タイプ	Version of Record