Abstract
We consider the motion of polygons by crystalline curvature. We show that "smooth" polygon evolves by crystalline curvature "smoothly" and that it shrinks to a point in finite time. We also establish the convergence of crystalline motion to the motion by mean curvature.
Original language | English (US) |
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Pages (from-to) | 19-37 |
Number of pages | 19 |
Journal | SIAM Journal on Mathematical Analysis |
Volume | 30 |
Issue number | 1 |
DOIs | |
State | Published - 1998 |
Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Analysis
- Computational Mathematics
- Applied Mathematics
Keywords
- Crystalline motion
- Motion by mean curvature
- Viscosity solutions