Abstract
A hyperbolic flow by mean curvature equation, vt + γv = κ, for the evolution of interfaces is studied. Here v, κ and vt are the normal velocity, curvature and normal acceleration of the interface. A crystalline algorithm is developed for the motion of closed convex polygonal curves; such curves may exhibit damped oscillations and their shape appears to rotate during the evolutionary process. The motion of circular interfaces is also studied both analytically and numerically.
Original language | English (US) |
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Pages (from-to) | 1256-1261 |
Number of pages | 6 |
Journal | Journal of Crystal Growth |
Volume | 198-199 |
Issue number | pt 2 |
DOIs | |
State | Published - Mar 1999 |
Externally published | Yes |
Event | Proceedings of the 1998 10th International Conference on Vapor Growth and Epitaxy and Specialist Workshops on Crystal Growth, ICVGE-10 - Jerusalem, Isr Duration: Jul 26 1998 → Jul 31 1998 |
All Science Journal Classification (ASJC) codes
- Condensed Matter Physics
- Inorganic Chemistry
- Materials Chemistry