Behavior Analyses of Phase Boundaries in the Stochastic Mean Curvature Flow by the Level Set Method

• Ishikawa Masaaki

  Dept. of Computer Science ans Systems Engineering, Yamaguchi University

• Miyajima Keiichi

  Dept. of Computer Science ans Systems Engineering, Yamaguchi University

抄録

An influence of a random noise on a mean curvature flow of a phase boundary is investigated. The phase boundary is defined as a curve or a surface separating different physical states such as a water-ice interface. The mean curvature flow is motion that the phase boundary moves with a normal velocity equals the mean curvature at each point on the phase boundary. Since we treat a stochastic mean curvature flow, we formulate it by a stochastic level set equation, which is a nonlinear stochastic partial differential equation with a uniques solution in a sense of a stochastic viscosity solution. In numerical simulations, behaviors of the stochastic mean curvature flows in two- and three-dimensional spaces are studied.

収録刊行物

• Proceedings of the ISCIE International Symposium on Stochastic Systems Theory and its Applications

  Proceedings of the ISCIE International Symposium on Stochastic Systems Theory and its Applications 2005 (0), 32-37, 2005-05-05

  システム制御情報学会ストカスティックシステムシンポジウム

キーワード

• Materials Science (miscellaneous)

詳細情報

• CRID: 1390001288034308224
• NII論文ID: 130007377046
• DOI: 10.5687/sss.2005.32
• ISSN: 21884749
• ISSN: 21884730
• Web Site: https://www.jstage.jst.go.jp/article/sss/2005/0/2005_32/_pdf
• 本文言語コード: en
• データソース種別:
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  • Crossref
  • CiNii Articles
• 抄録ライセンスフラグ: 使用不可