A mathematical model of the wearing process of a nonconvex stone

Hitoshi Ishii; Toshio Mikami

doi:10.1137/S0036141001384958

A mathematical model of the wearing process of a nonconvex stone

Hitoshi Ishii^*, Toshio Mikami

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

7 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 language	English
Pages (from-to)	860-876
Number of pages	17
Journal	SIAM Journal on Mathematical Analysis
Volume	33
Issue number	4
DOIs	https://doi.org/10.1137/S0036141001384958
Publication status	Published - 2001
Externally published	Yes

Keywords

Geometric evolution equations
Nonconvex stone
Wearing process

ASJC Scopus subject areas

Mathematics(all)
Analysis
Applied Mathematics

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10.1137/S0036141001384958

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title = "A mathematical model of the wearing process of a nonconvex stone",

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.",

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AU - Mikami, Toshio

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KW - Geometric evolution equations

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KW - Wearing process

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A mathematical model of the wearing process of a nonconvex stone

Abstract

Keywords

ASJC Scopus subject areas

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