Spiral solutions for a weakly anisotropic curvature flow equation


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Please use this identifier to cite or link to this item:https://doi.org/10.14943/83675

Title:	Spiral solutions for a weakly anisotropic curvature flow equation
Authors:	Giga, Y. Browse this author
	Ishimura, N. Browse this author
	Kohsaka, Y. Browse this author
Issue Date:	Jun-2001
Publisher:	Department of Mathematics, Hokkaido University
Journal Title:	Hokkaido University Preprint Series in Mathematics
Volume:	529
Start Page:	1
End Page:	16
Abstract:	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.
Type:	bulletin (article)
URI:	http://hdl.handle.net/2115/69279
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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