Abstract
The behavior of polygonal curves with asymptotic lines to crys- talline motion with the bulk e ect is discussed. We show sufficient conditions for global existence of the solutions and characterize facet-extinction patterns. We also show the eventual monotonicity of shape of the solution curves, that is, the solutions become V-shaped in finite time.
Original language | English |
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Pages (from-to) | 865-873 |
Number of pages | 9 |
Journal | Discrete and Continuous Dynamical Systems - Series S |
Volume | 4 |
Issue number | 4 |
DOIs | |
Publication status | Published - 2011 Aug |
Keywords
- Crystalline curvature
- Crystalline motion
- Eventual monotonicity
ASJC Scopus subject areas
- Analysis
- Discrete Mathematics and Combinatorics
- Applied Mathematics