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 |
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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