A mathematical model of the wearing process of a nonconvex stone

Hitoshi Ishii, Toshio Mikami

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

We formulate the wearing process of a nonconvex stone in terms of partial differential equations (PDEs). We establish a comparison theorem, an existence theorem, and some stability properties of solutions of this PDE.

Original languageEnglish
Pages (from-to)860-876
Number of pages17
JournalSIAM Journal on Mathematical Analysis
Volume33
Issue number4
DOIs
Publication statusPublished - 2001
Externally publishedYes

Fingerprint

Partial differential equations
Partial differential equation
Mathematical Model
Mathematical models
Comparison Theorem
Existence Theorem

Keywords

  • Geometric evolution equations
  • Nonconvex stone
  • Wearing process

ASJC Scopus subject areas

  • Mathematics(all)
  • Analysis
  • Applied Mathematics

Cite this

A mathematical model of the wearing process of a nonconvex stone. / Ishii, Hitoshi; Mikami, Toshio.

In: SIAM Journal on Mathematical Analysis, Vol. 33, No. 4, 2001, p. 860-876.

Research output: Contribution to journalArticle

Ishii, Hitoshi ; Mikami, Toshio. / A mathematical model of the wearing process of a nonconvex stone. In: SIAM Journal on Mathematical Analysis. 2001 ; Vol. 33, No. 4. pp. 860-876.
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