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 | |
| Publication status | Published - 2001 |
| Externally published | Yes |
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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 journal › Article
}
TY - JOUR
T1 - A mathematical model of the wearing process of a nonconvex stone
AU - Ishii, Hitoshi
AU - Mikami, Toshio
PY - 2001
Y1 - 2001
N2 - 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.
AB - 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.
KW - Geometric evolution equations
KW - Nonconvex stone
KW - Wearing process
UR - http://www.scopus.com/inward/record.url?scp=0035555954&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0035555954&partnerID=8YFLogxK
U2 - 10.1137/S0036141001384958
DO - 10.1137/S0036141001384958
M3 - Article
VL - 33
SP - 860
EP - 876
JO - SIAM Journal on Mathematical Analysis
JF - SIAM Journal on Mathematical Analysis
SN - 0036-1410
IS - 4
ER -