スパイラル成長の等高線法とその応用

DOI

書誌事項

タイトル別名
  • A Level Set Method for Evolution of Spirals and its Application

抄録

<p>A level set approach for evolving spirals is introduced to handle merging spiral steps. For this purpose, the level set method is extended to describe curves by an auxiliary surface and a surface defined by a pre-determined multivalued function, like as a Riemann surface. Since the level set equation is a degenerate parabolic type, its solution is considered in the viscosity sense. The comparison principle or the existence and uniqueness of viscosity solution globally-in-time are explained as the results of the mathematical analysis. This method can be applied to compute the growth rate of a crystal surface that is evolving via spiral steps. As an application of this, the growth rate of a crystal surface with several screw dislocations is investigated numerically. We improved the estimate of the surface growth rate compared to that reported by Burton et al. (Philos. Trans. R. Soc. London A, 243(1951), 299–358).</p>

収録刊行物

  • 応用数理

    応用数理 33 (3), 121-132, 2023-09-25

    一般社団法人 日本応用数理学会

キーワード

詳細情報 詳細情報について

  • CRID
    1390298588087051008
  • DOI
    10.11540/bjsiam.33.3_121
  • ISSN
    24321982
  • 本文言語コード
    ja
  • データソース種別
    • JaLC
  • 抄録ライセンスフラグ
    使用不可

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