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) |
|---|---|
| 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
Fingerprint
Dive into the research topics of 'Regularity and convergence of crystalline motion'. Together they form a unique fingerprint.Cite this
- APA
- Author
- BIBTEX
- Harvard
- Standard
- RIS
- Vancouver