A level set approach to the wearing process of a nonconvex stone

Hitoshi Ishii, Toshio Mikami

研究成果: Article査読

6 被引用数 (Scopus)

抄録

We study the geometric evolution of a nonconvex stone by the wearing process via the partial differential equation methods. We use the so-called level set approach to this geometric evolution of a set. We establish a comparison theorem, an existence theorem, and some stability properties of solutions of the partial differential equation arising in this level set approach, and define the flow of a set by the wearing process via the level set approach.

本文言語English
ページ(範囲)53-93
ページ数41
ジャーナルCalculus of Variations and Partial Differential Equations
19
1
DOI
出版ステータスPublished - 2004 1
外部発表はい

ASJC Scopus subject areas

  • Mathematics(all)
  • Analysis
  • Applied Mathematics

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