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Spiral solutions for a weakly anisotropic curvature flow equation

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Please use this identifier to cite or link to this item:http://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
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

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