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

Hitoshi Ishii, Toshio Mikami

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)53-93
Number of pages41
JournalCalculus of Variations and Partial Differential Equations
Volume19
Issue number1
DOIs
Publication statusPublished - 2004 Jan
Externally publishedYes

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Level-set Approach
Partial differential equations
Partial differential equation
Comparison Theorem
Existence Theorem

ASJC Scopus subject areas

  • Mathematics(all)
  • Analysis
  • Applied Mathematics

Cite this

A level set approach to the wearing process of a nonconvex stone. / Ishii, Hitoshi; Mikami, Toshio.

In: Calculus of Variations and Partial Differential Equations, Vol. 19, No. 1, 01.2004, p. 53-93.

Research output: Contribution to journalArticle

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