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 |
Keywords
- Geometric evolution equations
- Nonconvex stone
- Wearing process
ASJC Scopus subject areas
- Mathematics(all)
- Analysis
- Applied Mathematics
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Cite this
Ishii, H., & Mikami, T. (2001). A mathematical model of the wearing process of a nonconvex stone. SIAM Journal on Mathematical Analysis, 33(4), 860-876. https://doi.org/10.1137/S0036141001384958